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Finding the Fourth Proportional to 438,459.67, 657,708 and 138,933.62

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Solution

The fourth proportional to 438,459.67, 657,708 and 138,933.62 is: 208,406.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,459.67 : 657,708 = 138,933.62 : x
  2. Step 2: Convert to fraction form
    438,459.67/657,708 = 138,933.62/x
  3. Step 3: Cross multiply
    438,459.67x = 657,708 × 138,933.62
  4. Step 4: Simplify right side
    438,459.67x = 91,377,753,342.96
  5. Step 5: Solve for x
    x = 91,377,753,342.96/438,459.67
  6. Step 6: Final answer
    x = 208,406.29

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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.