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Finding the Fourth Proportional to 285,429.20, 428,014.20 and 107,877.20

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Solution

The fourth proportional to 285,429.20, 428,014.20 and 107,877.20 is: 161,766.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,429.20 : 428,014.20 = 107,877.20 : x
  2. Step 2: Convert to fraction form
    285,429.20/428,014.20 = 107,877.20/x
  3. Step 3: Cross multiply
    285,429.20x = 428,014.20 × 107,877.20
  4. Step 4: Simplify right side
    285,429.20x = 46,172,973,456.24
  5. Step 5: Solve for x
    x = 46,172,973,456.24/285,429.20
  6. Step 6: Final answer
    x = 161,766.82

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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.