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Finding the Fourth Proportional to 527,502.06, 727,951.81 and 285,790.67

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Solution

The fourth proportional to 527,502.06, 727,951.81 and 285,790.67 is: 394,390.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,502.06 : 727,951.81 = 285,790.67 : x
  2. Step 2: Convert to fraction form
    527,502.06/727,951.81 = 285,790.67/x
  3. Step 3: Cross multiply
    527,502.06x = 727,951.81 × 285,790.67
  4. Step 4: Simplify right side
    527,502.06x = 208,041,835,507.61
  5. Step 5: Solve for x
    x = 208,041,835,507.61/527,502.06
  6. Step 6: Final answer
    x = 394,390.57

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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.