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Finding the Fourth Proportional to 527,496.34, 727,944.06 and 285,785.06

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Solution

The fourth proportional to 527,496.34, 727,944.06 and 285,785.06 is: 394,382.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,496.34 : 727,944.06 = 285,785.06 : x
  2. Step 2: Convert to fraction form
    527,496.34/727,944.06 = 285,785.06/x
  3. Step 3: Cross multiply
    527,496.34x = 727,944.06 × 285,785.06
  4. Step 4: Simplify right side
    527,496.34x = 208,035,536,863.74
  5. Step 5: Solve for x
    x = 208,035,536,863.74/527,496.34
  6. Step 6: Final answer
    x = 394,382.90

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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.