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Finding the Fourth Proportional to 495,732.80, 684,109.45 and 280,913.92

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Solution

The fourth proportional to 495,732.80, 684,109.45 and 280,913.92 is: 387,660.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,732.80 : 684,109.45 = 280,913.92 : x
  2. Step 2: Convert to fraction form
    495,732.80/684,109.45 = 280,913.92/x
  3. Step 3: Cross multiply
    495,732.80x = 684,109.45 × 280,913.92
  4. Step 4: Simplify right side
    495,732.80x = 192,175,867,308.54
  5. Step 5: Solve for x
    x = 192,175,867,308.54/495,732.80
  6. Step 6: Final answer
    x = 387,660.18

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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.