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Finding the Fourth Proportional to 438,404.40, 657,952.32 and 225,163.68

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Solution

The fourth proportional to 438,404.40, 657,952.32 and 225,163.68 is: 337,923.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,404.40 : 657,952.32 = 225,163.68 : x
  2. Step 2: Convert to fraction form
    438,404.40/657,952.32 = 225,163.68/x
  3. Step 3: Cross multiply
    438,404.40x = 657,952.32 × 225,163.68
  4. Step 4: Simplify right side
    438,404.40x = 148,146,965,635.74
  5. Step 5: Solve for x
    x = 148,146,965,635.74/438,404.40
  6. Step 6: Final answer
    x = 337,923.08

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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.