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Finding the Fourth Proportional to 317,400.30, 475,711.65 and 139,718.70

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Solution

The fourth proportional to 317,400.30, 475,711.65 and 139,718.70 is: 209,406.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,400.30 : 475,711.65 = 139,718.70 : x
  2. Step 2: Convert to fraction form
    317,400.30/475,711.65 = 139,718.70/x
  3. Step 3: Cross multiply
    317,400.30x = 475,711.65 × 139,718.70
  4. Step 4: Simplify right side
    317,400.30x = 66,465,813,312.86
  5. Step 5: Solve for x
    x = 66,465,813,312.86/317,400.30
  6. Step 6: Final answer
    x = 209,406.90

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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.