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Finding the Fourth Proportional to 422,302.80, 633,552.62 and 138,006.47

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Solution

The fourth proportional to 422,302.80, 633,552.62 and 138,006.47 is: 207,041.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,302.80 : 633,552.62 = 138,006.47 : x
  2. Step 2: Convert to fraction form
    422,302.80/633,552.62 = 138,006.47/x
  3. Step 3: Cross multiply
    422,302.80x = 633,552.62 × 138,006.47
  4. Step 4: Simplify right side
    422,302.80x = 87,434,360,645.45
  5. Step 5: Solve for x
    x = 87,434,360,645.45/422,302.80
  6. Step 6: Final answer
    x = 207,041.87

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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.