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Finding the Fourth Proportional to 542,406.70, 812,808.15 and 392,961.70

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Solution

The fourth proportional to 542,406.70, 812,808.15 and 392,961.70 is: 588,861.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,406.70 : 812,808.15 = 392,961.70 : x
  2. Step 2: Convert to fraction form
    542,406.70/812,808.15 = 392,961.70/x
  3. Step 3: Cross multiply
    542,406.70x = 812,808.15 × 392,961.70
  4. Step 4: Simplify right side
    542,406.70x = 319,402,472,397.86
  5. Step 5: Solve for x
    x = 319,402,472,397.86/542,406.70
  6. Step 6: Final answer
    x = 588,861.59

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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.