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Finding the Fourth Proportional to 495,889.27, 684,312.81 and 281,049.19

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Solution

The fourth proportional to 495,889.27, 684,312.81 and 281,049.19 is: 387,839.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,889.27 : 684,312.81 = 281,049.19 : x
  2. Step 2: Convert to fraction form
    495,889.27/684,312.81 = 281,049.19/x
  3. Step 3: Cross multiply
    495,889.27x = 684,312.81 × 281,049.19
  4. Step 4: Simplify right side
    495,889.27x = 192,325,560,957.12
  5. Step 5: Solve for x
    x = 192,325,560,957.12/495,889.27
  6. Step 6: Final answer
    x = 387,839.73

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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.