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Finding the Fourth Proportional to 422,665.20, 634,095.00 and 138,364.92

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Solution

The fourth proportional to 422,665.20, 634,095.00 and 138,364.92 is: 207,579.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,665.20 : 634,095.00 = 138,364.92 : x
  2. Step 2: Convert to fraction form
    422,665.20/634,095.00 = 138,364.92/x
  3. Step 3: Cross multiply
    422,665.20x = 634,095.00 × 138,364.92
  4. Step 4: Simplify right side
    422,665.20x = 87,736,503,601.49
  5. Step 5: Solve for x
    x = 87,736,503,601.49/422,665.20
  6. Step 6: Final answer
    x = 207,579.20

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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.