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Finding the Fourth Proportional to 495,863.91, 684,306.63 and 280,996.83

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Solution

The fourth proportional to 495,863.91, 684,306.63 and 280,996.83 is: 387,783.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,863.91 : 684,306.63 = 280,996.83 : x
  2. Step 2: Convert to fraction form
    495,863.91/684,306.63 = 280,996.83/x
  3. Step 3: Cross multiply
    495,863.91x = 684,306.63 × 280,996.83
  4. Step 4: Simplify right side
    495,863.91x = 192,287,993,777.98
  5. Step 5: Solve for x
    x = 192,287,993,777.98/495,863.91
  6. Step 6: Final answer
    x = 387,783.80

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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.