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Finding the Fourth Proportional to 542,110.20, 812,387.70 and 398,837.40

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Solution

The fourth proportional to 542,110.20, 812,387.70 and 398,837.40 is: 597,684.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,110.20 : 812,387.70 = 398,837.40 : x
  2. Step 2: Convert to fraction form
    542,110.20/812,387.70 = 398,837.40/x
  3. Step 3: Cross multiply
    542,110.20x = 812,387.70 × 398,837.40
  4. Step 4: Simplify right side
    542,110.20x = 324,010,598,059.98
  5. Step 5: Solve for x
    x = 324,010,598,059.98/542,110.20
  6. Step 6: Final answer
    x = 597,684.01

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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.