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Finding the Fourth Proportional to 312,833.80, 431,709.78 and 169,593.40

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Solution

The fourth proportional to 312,833.80, 431,709.78 and 169,593.40 is: 234,038.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,833.80 : 431,709.78 = 169,593.40 : x
  2. Step 2: Convert to fraction form
    312,833.80/431,709.78 = 169,593.40/x
  3. Step 3: Cross multiply
    312,833.80x = 431,709.78 × 169,593.40
  4. Step 4: Simplify right side
    312,833.80x = 73,215,129,403.45
  5. Step 5: Solve for x
    x = 73,215,129,403.45/312,833.80
  6. Step 6: Final answer
    x = 234,038.42

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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.