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Finding the Fourth Proportional to 313,102.72, 432,081.90 and 169,862.73

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Solution

The fourth proportional to 313,102.72, 432,081.90 and 169,862.73 is: 234,410.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,102.72 : 432,081.90 = 169,862.73 : x
  2. Step 2: Convert to fraction form
    313,102.72/432,081.90 = 169,862.73/x
  3. Step 3: Cross multiply
    313,102.72x = 432,081.90 × 169,862.73
  4. Step 4: Simplify right side
    313,102.72x = 73,394,611,117.59
  5. Step 5: Solve for x
    x = 73,394,611,117.59/313,102.72
  6. Step 6: Final answer
    x = 234,410.65

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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.