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Finding the Fourth Proportional to 285,712.80, 428,569.20 and 239,402.40

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Solution

The fourth proportional to 285,712.80, 428,569.20 and 239,402.40 is: 359,103.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,712.80 : 428,569.20 = 239,402.40 : x
  2. Step 2: Convert to fraction form
    285,712.80/428,569.20 = 239,402.40/x
  3. Step 3: Cross multiply
    285,712.80x = 428,569.20 × 239,402.40
  4. Step 4: Simplify right side
    285,712.80x = 102,600,495,046.08
  5. Step 5: Solve for x
    x = 102,600,495,046.08/285,712.80
  6. Step 6: Final answer
    x = 359,103.60

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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.