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Finding the Fourth Proportional to 314,805.60, 434,419.07 and 171,562.55

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Solution

The fourth proportional to 314,805.60, 434,419.07 and 171,562.55 is: 236,749.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,805.60 : 434,419.07 = 171,562.55 : x
  2. Step 2: Convert to fraction form
    314,805.60/434,419.07 = 171,562.55/x
  3. Step 3: Cross multiply
    314,805.60x = 434,419.07 × 171,562.55
  4. Step 4: Simplify right side
    314,805.60x = 74,530,040,387.92
  5. Step 5: Solve for x
    x = 74,530,040,387.92/314,805.60
  6. Step 6: Final answer
    x = 236,749.41

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Why These Related Problems?

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