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Finding the Fourth Proportional to 527,502.89, 727,952.99 and 285,792

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Solution

The fourth proportional to 527,502.89, 727,952.99 and 285,792 is: 394,392.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,502.89 : 727,952.99 = 285,792 : x
  2. Step 2: Convert to fraction form
    527,502.89/727,952.99 = 285,792/x
  3. Step 3: Cross multiply
    527,502.89x = 727,952.99 × 285,792
  4. Step 4: Simplify right side
    527,502.89x = 208,043,139,489.12
  5. Step 5: Solve for x
    x = 208,043,139,489.12/527,502.89
  6. Step 6: Final answer
    x = 394,392.42

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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.