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Finding the Fourth Proportional to 313,101.96, 432,082 and 169,863.06

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Solution

The fourth proportional to 313,101.96, 432,082 and 169,863.06 is: 234,411.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,101.96 : 432,082 = 169,863.06 : x
  2. Step 2: Convert to fraction form
    313,101.96/432,082 = 169,863.06/x
  3. Step 3: Cross multiply
    313,101.96x = 432,082 × 169,863.06
  4. Step 4: Simplify right side
    313,101.96x = 73,394,770,690.92
  5. Step 5: Solve for x
    x = 73,394,770,690.92/313,101.96
  6. Step 6: Final answer
    x = 234,411.73

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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.