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Finding the Fourth Proportional to 459,121.87, 688,695.12 and 143,578.78

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Solution

The fourth proportional to 459,121.87, 688,695.12 and 143,578.78 is: 215,372.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,121.87 : 688,695.12 = 143,578.78 : x
  2. Step 2: Convert to fraction form
    459,121.87/688,695.12 = 143,578.78/x
  3. Step 3: Cross multiply
    459,121.87x = 688,695.12 × 143,578.78
  4. Step 4: Simplify right side
    459,121.87x = 98,882,005,121.55
  5. Step 5: Solve for x
    x = 98,882,005,121.55/459,121.87
  6. Step 6: Final answer
    x = 215,372.02

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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.