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Finding the Fourth Proportional to 390,516.49, 585,827.13 and 137,737.56

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Solution

The fourth proportional to 390,516.49, 585,827.13 and 137,737.56 is: 206,624.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,516.49 : 585,827.13 = 137,737.56 : x
  2. Step 2: Convert to fraction form
    390,516.49/585,827.13 = 137,737.56/x
  3. Step 3: Cross multiply
    390,516.49x = 585,827.13 × 137,737.56
  4. Step 4: Simplify right side
    390,516.49x = 80,690,402,181.37
  5. Step 5: Solve for x
    x = 80,690,402,181.37/390,516.49
  6. Step 6: Final answer
    x = 206,624.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.