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Finding the Fourth Proportional to 521,733.80, 782,406.30 and 363,492.20

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Solution

The fourth proportional to 521,733.80, 782,406.30 and 363,492.20 is: 545,102.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,733.80 : 782,406.30 = 363,492.20 : x
  2. Step 2: Convert to fraction form
    521,733.80/782,406.30 = 363,492.20/x
  3. Step 3: Cross multiply
    521,733.80x = 782,406.30 × 363,492.20
  4. Step 4: Simplify right side
    521,733.80x = 284,398,587,280.86
  5. Step 5: Solve for x
    x = 284,398,587,280.86/521,733.80
  6. Step 6: Final answer
    x = 545,102.86

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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.