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Finding the Fourth Proportional to 438,481.36, 657,740.34 and 138,955.32

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Solution

The fourth proportional to 438,481.36, 657,740.34 and 138,955.32 is: 208,438.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,481.36 : 657,740.34 = 138,955.32 : x
  2. Step 2: Convert to fraction form
    438,481.36/657,740.34 = 138,955.32/x
  3. Step 3: Cross multiply
    438,481.36x = 657,740.34 × 138,955.32
  4. Step 4: Simplify right side
    438,481.36x = 91,396,519,421.61
  5. Step 5: Solve for x
    x = 91,396,519,421.61/438,481.36
  6. Step 6: Final answer
    x = 208,438.78

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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.