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Finding the Fourth Proportional to 317,460.30, 438,114.90 and 209,843.70

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Solution

The fourth proportional to 317,460.30, 438,114.90 and 209,843.70 is: 289,597.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,460.30 : 438,114.90 = 209,843.70 : x
  2. Step 2: Convert to fraction form
    317,460.30/438,114.90 = 209,843.70/x
  3. Step 3: Cross multiply
    317,460.30x = 438,114.90 × 209,843.70
  4. Step 4: Simplify right side
    317,460.30x = 91,935,651,641.13
  5. Step 5: Solve for x
    x = 91,935,651,641.13/317,460.30
  6. Step 6: Final answer
    x = 289,597.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.