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Finding the Fourth Proportional to 508,397.40, 701,296.92 and 317,078.64

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Solution

The fourth proportional to 508,397.40, 701,296.92 and 317,078.64 is: 437,386.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,397.40 : 701,296.92 = 317,078.64 : x
  2. Step 2: Convert to fraction form
    508,397.40/701,296.92 = 317,078.64/x
  3. Step 3: Cross multiply
    508,397.40x = 701,296.92 × 317,078.64
  4. Step 4: Simplify right side
    508,397.40x = 222,366,273,629.79
  5. Step 5: Solve for x
    x = 222,366,273,629.79/508,397.40
  6. Step 6: Final answer
    x = 437,386.72

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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.