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Finding the Fourth Proportional to 542,432.86, 813,703.96 and 143,101.24

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Solution

The fourth proportional to 542,432.86, 813,703.96 and 143,101.24 is: 214,666.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,432.86 : 813,703.96 = 143,101.24 : x
  2. Step 2: Convert to fraction form
    542,432.86/813,703.96 = 143,101.24/x
  3. Step 3: Cross multiply
    542,432.86x = 813,703.96 × 143,101.24
  4. Step 4: Simplify right side
    542,432.86x = 116,442,045,668.91
  5. Step 5: Solve for x
    x = 116,442,045,668.91/542,432.86
  6. Step 6: Final answer
    x = 214,666.28

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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.