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Finding the Fourth Proportional to 614,543.30, 921,814.95 and 446,581.70

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Solution

The fourth proportional to 614,543.30, 921,814.95 and 446,581.70 is: 669,872.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,543.30 : 921,814.95 = 446,581.70 : x
  2. Step 2: Convert to fraction form
    614,543.30/921,814.95 = 446,581.70/x
  3. Step 3: Cross multiply
    614,543.30x = 921,814.95 × 446,581.70
  4. Step 4: Simplify right side
    614,543.30x = 411,665,687,456.42
  5. Step 5: Solve for x
    x = 411,665,687,456.42/614,543.30
  6. Step 6: Final answer
    x = 669,872.55

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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.