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Finding the Fourth Proportional to 285,871.80, 428,828.34 and 75,507

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Solution

The fourth proportional to 285,871.80, 428,828.34 and 75,507 is: 113,265.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,871.80 : 428,828.34 = 75,507 : x
  2. Step 2: Convert to fraction form
    285,871.80/428,828.34 = 75,507/x
  3. Step 3: Cross multiply
    285,871.80x = 428,828.34 × 75,507
  4. Step 4: Simplify right side
    285,871.80x = 32,379,541,468.38
  5. Step 5: Solve for x
    x = 32,379,541,468.38/285,871.80
  6. Step 6: Final answer
    x = 113,265.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.