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Finding the Fourth Proportional to 317,312.96, 475,963.29 and 77,428.42

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Solution

The fourth proportional to 317,312.96, 475,963.29 and 77,428.42 is: 116,141.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,312.96 : 475,963.29 = 77,428.42 : x
  2. Step 2: Convert to fraction form
    317,312.96/475,963.29 = 77,428.42/x
  3. Step 3: Cross multiply
    317,312.96x = 475,963.29 × 77,428.42
  4. Step 4: Simplify right side
    317,312.96x = 36,853,085,716.27
  5. Step 5: Solve for x
    x = 36,853,085,716.27/317,312.96
  6. Step 6: Final answer
    x = 116,141.13

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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.