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Finding the Fourth Proportional to 390,093.62, 585,187.32 and 137,321.62

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Solution

The fourth proportional to 390,093.62, 585,187.32 and 137,321.62 is: 205,998.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,093.62 : 585,187.32 = 137,321.62 : x
  2. Step 2: Convert to fraction form
    390,093.62/585,187.32 = 137,321.62/x
  3. Step 3: Cross multiply
    390,093.62x = 585,187.32 × 137,321.62
  4. Step 4: Simplify right side
    390,093.62x = 80,358,870,785.86
  5. Step 5: Solve for x
    x = 80,358,870,785.86/390,093.62
  6. Step 6: Final answer
    x = 205,998.94

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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.