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Finding the Fourth Proportional to 527,592.26, 728,077.96 and 285,874.64

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Solution

The fourth proportional to 527,592.26, 728,077.96 and 285,874.64 is: 394,507.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,592.26 : 728,077.96 = 285,874.64 : x
  2. Step 2: Convert to fraction form
    527,592.26/728,077.96 = 285,874.64/x
  3. Step 3: Cross multiply
    527,592.26x = 728,077.96 × 285,874.64
  4. Step 4: Simplify right side
    527,592.26x = 208,139,024,706.93
  5. Step 5: Solve for x
    x = 208,139,024,706.93/527,592.26
  6. Step 6: Final answer
    x = 394,507.35

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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.