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Finding the Fourth Proportional to 527,267.65, 727,625.70 and 285,544.69

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Solution

The fourth proportional to 527,267.65, 727,625.70 and 285,544.69 is: 394,049.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,267.65 : 727,625.70 = 285,544.69 : x
  2. Step 2: Convert to fraction form
    527,267.65/727,625.70 = 285,544.69/x
  3. Step 3: Cross multiply
    527,267.65x = 727,625.70 × 285,544.69
  4. Step 4: Simplify right side
    527,267.65x = 207,769,654,942.53
  5. Step 5: Solve for x
    x = 207,769,654,942.53/527,267.65
  6. Step 6: Final answer
    x = 394,049.69

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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.