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Finding the Fourth Proportional to 542,781.20, 749,025 and 316,412

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Solution

The fourth proportional to 542,781.20, 749,025 and 316,412 is: 436,640.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,781.20 : 749,025 = 316,412 : x
  2. Step 2: Convert to fraction form
    542,781.20/749,025 = 316,412/x
  3. Step 3: Cross multiply
    542,781.20x = 749,025 × 316,412
  4. Step 4: Simplify right side
    542,781.20x = 237,000,498,300
  5. Step 5: Solve for x
    x = 237,000,498,300/542,781.20
  6. Step 6: Final answer
    x = 436,640.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.