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Finding the Fourth Proportional to 422,381.32, 633,519.12 and 138,048.10

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Solution

The fourth proportional to 422,381.32, 633,519.12 and 138,048.10 is: 207,054.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,381.32 : 633,519.12 = 138,048.10 : x
  2. Step 2: Convert to fraction form
    422,381.32/633,519.12 = 138,048.10/x
  3. Step 3: Cross multiply
    422,381.32x = 633,519.12 × 138,048.10
  4. Step 4: Simplify right side
    422,381.32x = 87,456,110,829.67
  5. Step 5: Solve for x
    x = 87,456,110,829.67/422,381.32
  6. Step 6: Final answer
    x = 207,054.87

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1.5x scale

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.