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Finding the Fourth Proportional to 390,180.38, 585,317.42 and 137,408.59

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Solution

The fourth proportional to 390,180.38, 585,317.42 and 137,408.59 is: 206,129.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,180.38 : 585,317.42 = 137,408.59 : x
  2. Step 2: Convert to fraction form
    390,180.38/585,317.42 = 137,408.59/x
  3. Step 3: Cross multiply
    390,180.38x = 585,317.42 × 137,408.59
  4. Step 4: Simplify right side
    390,180.38x = 80,427,641,384.64
  5. Step 5: Solve for x
    x = 80,427,641,384.64/390,180.38
  6. Step 6: Final answer
    x = 206,129.38

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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.