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Finding the Fourth Proportional to 527,589.75, 728,074.50 and 285,872.13

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Solution

The fourth proportional to 527,589.75, 728,074.50 and 285,872.13 is: 394,503.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,589.75 : 728,074.50 = 285,872.13 : x
  2. Step 2: Convert to fraction form
    527,589.75/728,074.50 = 285,872.13/x
  3. Step 3: Cross multiply
    527,589.75x = 728,074.50 × 285,872.13
  4. Step 4: Simplify right side
    527,589.75x = 208,136,208,113.69
  5. Step 5: Solve for x
    x = 208,136,208,113.69/527,589.75
  6. Step 6: Final answer
    x = 394,503.89

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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.