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Finding the Fourth Proportional to 527,588.75, 728,073.12 and 285,871.13

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Solution

The fourth proportional to 527,588.75, 728,073.12 and 285,871.13 is: 394,502.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,588.75 : 728,073.12 = 285,871.13 : x
  2. Step 2: Convert to fraction form
    527,588.75/728,073.12 = 285,871.13/x
  3. Step 3: Cross multiply
    527,588.75x = 728,073.12 × 285,871.13
  4. Step 4: Simplify right side
    527,588.75x = 208,135,085,334.62
  5. Step 5: Solve for x
    x = 208,135,085,334.62/527,588.75
  6. Step 6: Final answer
    x = 394,502.51

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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.