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Finding the Fourth Proportional to 458,981.95, 688,472.80 and 143,438.85

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Solution

The fourth proportional to 458,981.95, 688,472.80 and 143,438.85 is: 215,158.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,981.95 : 688,472.80 = 143,438.85 : x
  2. Step 2: Convert to fraction form
    458,981.95/688,472.80 = 143,438.85/x
  3. Step 3: Cross multiply
    458,981.95x = 688,472.80 × 143,438.85
  4. Step 4: Simplify right side
    458,981.95x = 98,753,746,688.28
  5. Step 5: Solve for x
    x = 98,753,746,688.28/458,981.95
  6. Step 6: Final answer
    x = 215,158.24

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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.