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Finding the Fourth Proportional to 390,180.65, 585,317.85 and 137,408.91

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Solution

The fourth proportional to 390,180.65, 585,317.85 and 137,408.91 is: 206,129.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,180.65 : 585,317.85 = 137,408.91 : x
  2. Step 2: Convert to fraction form
    390,180.65/585,317.85 = 137,408.91/x
  3. Step 3: Cross multiply
    390,180.65x = 585,317.85 × 137,408.91
  4. Step 4: Simplify right side
    390,180.65x = 80,427,885,061.82
  5. Step 5: Solve for x
    x = 80,427,885,061.82/390,180.65
  6. Step 6: Final answer
    x = 206,129.87

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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.