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Finding the Fourth Proportional to 422,685.54, 634,106.07 and 138,392.01

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Solution

The fourth proportional to 422,685.54, 634,106.07 and 138,392.01 is: 207,613.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,685.54 : 634,106.07 = 138,392.01 : x
  2. Step 2: Convert to fraction form
    422,685.54/634,106.07 = 138,392.01/x
  3. Step 3: Cross multiply
    422,685.54x = 634,106.07 × 138,392.01
  4. Step 4: Simplify right side
    422,685.54x = 87,755,213,580.50
  5. Step 5: Solve for x
    x = 87,755,213,580.50/422,685.54
  6. Step 6: Final answer
    x = 207,613.47

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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.