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Finding the Fourth Proportional to 313,209.72, 432,229.69 and 169,969.76

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Solution

The fourth proportional to 313,209.72, 432,229.69 and 169,969.76 is: 234,558.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,209.72 : 432,229.69 = 169,969.76 : x
  2. Step 2: Convert to fraction form
    313,209.72/432,229.69 = 169,969.76/x
  3. Step 3: Cross multiply
    313,209.72x = 432,229.69 × 169,969.76
  4. Step 4: Simplify right side
    313,209.72x = 73,465,976,027.66
  5. Step 5: Solve for x
    x = 73,465,976,027.66/313,209.72
  6. Step 6: Final answer
    x = 234,558.42

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1.5x scale

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.