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Finding the Fourth Proportional to 422,363.32, 633,478.89 and 138,051.70

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Solution

The fourth proportional to 422,363.32, 633,478.89 and 138,051.70 is: 207,055.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,363.32 : 633,478.89 = 138,051.70 : x
  2. Step 2: Convert to fraction form
    422,363.32/633,478.89 = 138,051.70/x
  3. Step 3: Cross multiply
    422,363.32x = 633,478.89 × 138,051.70
  4. Step 4: Simplify right side
    422,363.32x = 87,452,837,678.61
  5. Step 5: Solve for x
    x = 87,452,837,678.61/422,363.32
  6. Step 6: Final answer
    x = 207,055.95

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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.