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Finding the Fourth Proportional to 414,427.72, 571,909.41 and 233,139.78

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Solution

The fourth proportional to 414,427.72, 571,909.41 and 233,139.78 is: 321,732.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,427.72 : 571,909.41 = 233,139.78 : x
  2. Step 2: Convert to fraction form
    414,427.72/571,909.41 = 233,139.78/x
  3. Step 3: Cross multiply
    414,427.72x = 571,909.41 × 233,139.78
  4. Step 4: Simplify right side
    414,427.72x = 133,334,834,027.33
  5. Step 5: Solve for x
    x = 133,334,834,027.33/414,427.72
  6. Step 6: Final answer
    x = 321,732.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.