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Finding the Fourth Proportional to 313,025.92, 431,972.60 and 169,782.89

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Solution

The fourth proportional to 313,025.92, 431,972.60 and 169,782.89 is: 234,298.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,025.92 : 431,972.60 = 169,782.89 : x
  2. Step 2: Convert to fraction form
    313,025.92/431,972.60 = 169,782.89/x
  3. Step 3: Cross multiply
    313,025.92x = 431,972.60 × 169,782.89
  4. Step 4: Simplify right side
    313,025.92x = 73,341,553,420.04
  5. Step 5: Solve for x
    x = 73,341,553,420.04/313,025.92
  6. Step 6: Final answer
    x = 234,298.66

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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.