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Finding the Fourth Proportional to 542,405.20, 812,805.90 and 392,960.20

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Solution

The fourth proportional to 542,405.20, 812,805.90 and 392,960.20 is: 588,859.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,405.20 : 812,805.90 = 392,960.20 : x
  2. Step 2: Convert to fraction form
    542,405.20/812,805.90 = 392,960.20/x
  3. Step 3: Cross multiply
    542,405.20x = 812,805.90 × 392,960.20
  4. Step 4: Simplify right side
    542,405.20x = 319,400,369,025.18
  5. Step 5: Solve for x
    x = 319,400,369,025.18/542,405.20
  6. Step 6: Final answer
    x = 588,859.34

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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.