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Finding the Fourth Proportional to 280,461.25, 420,691.88 and 83,469.25

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Solution

The fourth proportional to 280,461.25, 420,691.88 and 83,469.25 is: 125,203.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,461.25 : 420,691.88 = 83,469.25 : x
  2. Step 2: Convert to fraction form
    280,461.25/420,691.88 = 83,469.25/x
  3. Step 3: Cross multiply
    280,461.25x = 420,691.88 × 83,469.25
  4. Step 4: Simplify right side
    280,461.25x = 35,114,835,287.34
  5. Step 5: Solve for x
    x = 35,114,835,287.34/280,461.25
  6. Step 6: Final answer
    x = 125,203.88

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1.5x scale

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.