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Finding the Fourth Proportional to 423,218.15, 634,693.87 and 138,842.43

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Solution

The fourth proportional to 423,218.15, 634,693.87 and 138,842.43 is: 208,219.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,218.15 : 634,693.87 = 138,842.43 : x
  2. Step 2: Convert to fraction form
    423,218.15/634,693.87 = 138,842.43/x
  3. Step 3: Cross multiply
    423,218.15x = 634,693.87 × 138,842.43
  4. Step 4: Simplify right side
    423,218.15x = 88,122,441,249.90
  5. Step 5: Solve for x
    x = 88,122,441,249.90/423,218.15
  6. Step 6: Final answer
    x = 208,219.90

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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.