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Finding the Fourth Proportional to 495,677.97, 684,007.56 and 280,870.83

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Solution

The fourth proportional to 495,677.97, 684,007.56 and 280,870.83 is: 387,585.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,677.97 : 684,007.56 = 280,870.83 : x
  2. Step 2: Convert to fraction form
    495,677.97/684,007.56 = 280,870.83/x
  3. Step 3: Cross multiply
    495,677.97x = 684,007.56 × 280,870.83
  4. Step 4: Simplify right side
    495,677.97x = 192,117,771,103.48
  5. Step 5: Solve for x
    x = 192,117,771,103.48/495,677.97
  6. Step 6: Final answer
    x = 387,585.86

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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.