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Finding the Fourth Proportional to 438,081.75, 657,239.27 and 138,567.78

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Solution

The fourth proportional to 438,081.75, 657,239.27 and 138,567.78 is: 207,888.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,081.75 : 657,239.27 = 138,567.78 : x
  2. Step 2: Convert to fraction form
    438,081.75/657,239.27 = 138,567.78/x
  3. Step 3: Cross multiply
    438,081.75x = 657,239.27 × 138,567.78
  4. Step 4: Simplify right side
    438,081.75x = 91,072,185,879.88
  5. Step 5: Solve for x
    x = 91,072,185,879.88/438,081.75
  6. Step 6: Final answer
    x = 207,888.56

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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.