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Finding the Fourth Proportional to 415,787.20, 623,680.80 and 205,835.20

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Solution

The fourth proportional to 415,787.20, 623,680.80 and 205,835.20 is: 308,752.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,787.20 : 623,680.80 = 205,835.20 : x
  2. Step 2: Convert to fraction form
    415,787.20/623,680.80 = 205,835.20/x
  3. Step 3: Cross multiply
    415,787.20x = 623,680.80 × 205,835.20
  4. Step 4: Simplify right side
    415,787.20x = 128,375,462,204.16
  5. Step 5: Solve for x
    x = 128,375,462,204.16/415,787.20
  6. Step 6: Final answer
    x = 308,752.80

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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.