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Finding the Fourth Proportional to 495,092.60, 683,177.92 and 280,195.25

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Solution

The fourth proportional to 495,092.60, 683,177.92 and 280,195.25 is: 386,641.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,092.60 : 683,177.92 = 280,195.25 : x
  2. Step 2: Convert to fraction form
    495,092.60/683,177.92 = 280,195.25/x
  3. Step 3: Cross multiply
    495,092.60x = 683,177.92 × 280,195.25
  4. Step 4: Simplify right side
    495,092.60x = 191,423,203,272.01
  5. Step 5: Solve for x
    x = 191,423,203,272.01/495,092.60
  6. Step 6: Final answer
    x = 386,641.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.