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Finding the Fourth Proportional to 317,264.50, 475,909.71 and 80,613.28

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Solution

The fourth proportional to 317,264.50, 475,909.71 and 80,613.28 is: 120,923.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,264.50 : 475,909.71 = 80,613.28 : x
  2. Step 2: Convert to fraction form
    317,264.50/475,909.71 = 80,613.28/x
  3. Step 3: Cross multiply
    317,264.50x = 475,909.71 × 80,613.28
  4. Step 4: Simplify right side
    317,264.50x = 38,364,642,706.95
  5. Step 5: Solve for x
    x = 38,364,642,706.95/317,264.50
  6. Step 6: Final answer
    x = 120,923.21

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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.