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Finding the Fourth Proportional to 390,105.72, 585,327.62 and 137,566.65

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Solution

The fourth proportional to 390,105.72, 585,327.62 and 137,566.65 is: 206,409.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,105.72 : 585,327.62 = 137,566.65 : x
  2. Step 2: Convert to fraction form
    390,105.72/585,327.62 = 137,566.65/x
  3. Step 3: Cross multiply
    390,105.72x = 585,327.62 × 137,566.65
  4. Step 4: Simplify right side
    390,105.72x = 80,521,559,835.87
  5. Step 5: Solve for x
    x = 80,521,559,835.87/390,105.72
  6. Step 6: Final answer
    x = 206,409.59

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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.