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Finding the Fourth Proportional to 390,123.26, 585,205.13 and 123,904.61

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Solution

The fourth proportional to 390,123.26, 585,205.13 and 123,904.61 is: 185,863.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,123.26 : 585,205.13 = 123,904.61 : x
  2. Step 2: Convert to fraction form
    390,123.26/585,205.13 = 123,904.61/x
  3. Step 3: Cross multiply
    390,123.26x = 585,205.13 × 123,904.61
  4. Step 4: Simplify right side
    390,123.26x = 72,509,613,402.65
  5. Step 5: Solve for x
    x = 72,509,613,402.65/390,123.26
  6. Step 6: Final answer
    x = 185,863.34

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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.