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Finding the Fourth Proportional to 313,042.24, 431,995.22 and 169,800.22

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Solution

The fourth proportional to 313,042.24, 431,995.22 and 169,800.22 is: 234,322.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,042.24 : 431,995.22 = 169,800.22 : x
  2. Step 2: Convert to fraction form
    313,042.24/431,995.22 = 169,800.22/x
  3. Step 3: Cross multiply
    313,042.24x = 431,995.22 × 169,800.22
  4. Step 4: Simplify right side
    313,042.24x = 73,352,883,394.95
  5. Step 5: Solve for x
    x = 73,352,883,394.95/313,042.24
  6. Step 6: Final answer
    x = 234,322.64

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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.