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Finding the Fourth Proportional to 527,404.30, 727,821.43 and 285,686.87

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Solution

The fourth proportional to 527,404.30, 727,821.43 and 285,686.87 is: 394,249.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,404.30 : 727,821.43 = 285,686.87 : x
  2. Step 2: Convert to fraction form
    527,404.30/727,821.43 = 285,686.87/x
  3. Step 3: Cross multiply
    527,404.30x = 727,821.43 × 285,686.87
  4. Step 4: Simplify right side
    527,404.30x = 207,929,027,360.96
  5. Step 5: Solve for x
    x = 207,929,027,360.96/527,404.30
  6. Step 6: Final answer
    x = 394,249.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.