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Finding the Fourth Proportional to 546,436.80, 819,655.20 and 542,937.60

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Solution

The fourth proportional to 546,436.80, 819,655.20 and 542,937.60 is: 814,406.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,436.80 : 819,655.20 = 542,937.60 : x
  2. Step 2: Convert to fraction form
    546,436.80/819,655.20 = 542,937.60/x
  3. Step 3: Cross multiply
    546,436.80x = 819,655.20 × 542,937.60
  4. Step 4: Simplify right side
    546,436.80x = 445,021,627,115.52
  5. Step 5: Solve for x
    x = 445,021,627,115.52/546,436.80
  6. Step 6: Final answer
    x = 814,406.40

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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.