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Finding the Fourth Proportional to 542,425.60, 813,868.80 and 261,798.40

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Solution

The fourth proportional to 542,425.60, 813,868.80 and 261,798.40 is: 392,808.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,425.60 : 813,868.80 = 261,798.40 : x
  2. Step 2: Convert to fraction form
    542,425.60/813,868.80 = 261,798.40/x
  3. Step 3: Cross multiply
    542,425.60x = 813,868.80 × 261,798.40
  4. Step 4: Simplify right side
    542,425.60x = 213,069,549,649.92
  5. Step 5: Solve for x
    x = 213,069,549,649.92/542,425.60
  6. Step 6: Final answer
    x = 392,808.80

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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.