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Finding the Fourth Proportional to 313,691.57, 432,893.54 and 170,451.62

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Solution

The fourth proportional to 313,691.57, 432,893.54 and 170,451.62 is: 235,222.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,691.57 : 432,893.54 = 170,451.62 : x
  2. Step 2: Convert to fraction form
    313,691.57/432,893.54 = 170,451.62/x
  3. Step 3: Cross multiply
    313,691.57x = 432,893.54 × 170,451.62
  4. Step 4: Simplify right side
    313,691.57x = 73,787,404,328.28
  5. Step 5: Solve for x
    x = 73,787,404,328.28/313,691.57
  6. Step 6: Final answer
    x = 235,222.78

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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.