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Finding the Fourth Proportional to 527,019.29, 727,286.86 and 285,301.87

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Solution

The fourth proportional to 527,019.29, 727,286.86 and 285,301.87 is: 393,716.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,019.29 : 727,286.86 = 285,301.87 : x
  2. Step 2: Convert to fraction form
    527,019.29/727,286.86 = 285,301.87/x
  3. Step 3: Cross multiply
    527,019.29x = 727,286.86 × 285,301.87
  4. Step 4: Simplify right side
    527,019.29x = 207,496,299,722.84
  5. Step 5: Solve for x
    x = 207,496,299,722.84/527,019.29
  6. Step 6: Final answer
    x = 393,716.71

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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.