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Finding the Fourth Proportional to 312,468.90, 431,207.82 and 169,228.50

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Solution

The fourth proportional to 312,468.90, 431,207.82 and 169,228.50 is: 233,535.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,468.90 : 431,207.82 = 169,228.50 : x
  2. Step 2: Convert to fraction form
    312,468.90/431,207.82 = 169,228.50/x
  3. Step 3: Cross multiply
    312,468.90x = 431,207.82 × 169,228.50
  4. Step 4: Simplify right side
    312,468.90x = 72,972,652,566.87
  5. Step 5: Solve for x
    x = 72,972,652,566.87/312,468.90
  6. Step 6: Final answer
    x = 233,535.73

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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.