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Finding the Fourth Proportional to 425,447.32, 638,196.94 and 137,288.20

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Solution

The fourth proportional to 425,447.32, 638,196.94 and 137,288.20 is: 205,940.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,447.32 : 638,196.94 = 137,288.20 : x
  2. Step 2: Convert to fraction form
    425,447.32/638,196.94 = 137,288.20/x
  3. Step 3: Cross multiply
    425,447.32x = 638,196.94 × 137,288.20
  4. Step 4: Simplify right side
    425,447.32x = 87,616,909,138.11
  5. Step 5: Solve for x
    x = 87,616,909,138.11/425,447.32
  6. Step 6: Final answer
    x = 205,940.68

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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.