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Finding the Fourth Proportional to 497,720.60, 748,424.10 and 416,619.80

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Solution

The fourth proportional to 497,720.60, 748,424.10 and 416,619.80 is: 626,472.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,720.60 : 748,424.10 = 416,619.80 : x
  2. Step 2: Convert to fraction form
    497,720.60/748,424.10 = 416,619.80/x
  3. Step 3: Cross multiply
    497,720.60x = 748,424.10 × 416,619.80
  4. Step 4: Simplify right side
    497,720.60x = 311,808,298,857.18
  5. Step 5: Solve for x
    x = 311,808,298,857.18/497,720.60
  6. Step 6: Final answer
    x = 626,472.56

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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.