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Finding the Fourth Proportional to 390,107.41, 585,330.15 and 137,568.35

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Solution

The fourth proportional to 390,107.41, 585,330.15 and 137,568.35 is: 206,412.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,107.41 : 585,330.15 = 137,568.35 : x
  2. Step 2: Convert to fraction form
    390,107.41/585,330.15 = 137,568.35/x
  3. Step 3: Cross multiply
    390,107.41x = 585,330.15 × 137,568.35
  4. Step 4: Simplify right side
    390,107.41x = 80,522,902,940.75
  5. Step 5: Solve for x
    x = 80,522,902,940.75/390,107.41
  6. Step 6: Final answer
    x = 206,412.13

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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.