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Finding the Fourth Proportional to 497,409.40, 746,114.10 and 339,945.40

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Solution

The fourth proportional to 497,409.40, 746,114.10 and 339,945.40 is: 509,918.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,409.40 : 746,114.10 = 339,945.40 : x
  2. Step 2: Convert to fraction form
    497,409.40/746,114.10 = 339,945.40/x
  3. Step 3: Cross multiply
    497,409.40x = 746,114.10 × 339,945.40
  4. Step 4: Simplify right side
    497,409.40x = 253,638,056,170.14
  5. Step 5: Solve for x
    x = 253,638,056,170.14/497,409.40
  6. Step 6: Final answer
    x = 509,918.10

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.