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Finding the Fourth Proportional to 495,691.75, 684,045.76 and 280,827.20

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Solution

The fourth proportional to 495,691.75, 684,045.76 and 280,827.20 is: 387,536.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,691.75 : 684,045.76 = 280,827.20 : x
  2. Step 2: Convert to fraction form
    495,691.75/684,045.76 = 280,827.20/x
  3. Step 3: Cross multiply
    495,691.75x = 684,045.76 × 280,827.20
  4. Step 4: Simplify right side
    495,691.75x = 192,098,656,987.27
  5. Step 5: Solve for x
    x = 192,098,656,987.27/495,691.75
  6. Step 6: Final answer
    x = 387,536.52

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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.