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Finding the Fourth Proportional to 542,408.20, 812,810.40 and 392,963.20

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Solution

The fourth proportional to 542,408.20, 812,810.40 and 392,963.20 is: 588,863.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,408.20 : 812,810.40 = 392,963.20 : x
  2. Step 2: Convert to fraction form
    542,408.20/812,810.40 = 392,963.20/x
  3. Step 3: Cross multiply
    542,408.20x = 812,810.40 × 392,963.20
  4. Step 4: Simplify right side
    542,408.20x = 319,404,575,777.28
  5. Step 5: Solve for x
    x = 319,404,575,777.28/542,408.20
  6. Step 6: Final answer
    x = 588,863.84

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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.