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Finding the Fourth Proportional to 527,404.34, 727,821.49 and 285,686.91

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Solution

The fourth proportional to 527,404.34, 727,821.49 and 285,686.91 is: 394,249.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,404.34 : 727,821.49 = 285,686.91 : x
  2. Step 2: Convert to fraction form
    527,404.34/727,821.49 = 285,686.91/x
  3. Step 3: Cross multiply
    527,404.34x = 727,821.49 × 285,686.91
  4. Step 4: Simplify right side
    527,404.34x = 207,929,072,509.70
  5. Step 5: Solve for x
    x = 207,929,072,509.70/527,404.34
  6. Step 6: Final answer
    x = 394,249.83

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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.