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Finding the Fourth Proportional to 542,822.68, 814,240.95 and 143,460

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Solution

The fourth proportional to 542,822.68, 814,240.95 and 143,460 is: 215,191.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,822.68 : 814,240.95 = 143,460 : x
  2. Step 2: Convert to fraction form
    542,822.68/814,240.95 = 143,460/x
  3. Step 3: Cross multiply
    542,822.68x = 814,240.95 × 143,460
  4. Step 4: Simplify right side
    542,822.68x = 116,811,006,249.90
  5. Step 5: Solve for x
    x = 116,811,006,249.90/542,822.68
  6. Step 6: Final answer
    x = 215,191.83

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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.