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Finding the Fourth Proportional to 312,561.97, 431,335.72 and 169,322.58

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Solution

The fourth proportional to 312,561.97, 431,335.72 and 169,322.58 is: 233,665.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,561.97 : 431,335.72 = 169,322.58 : x
  2. Step 2: Convert to fraction form
    312,561.97/431,335.72 = 169,322.58/x
  3. Step 3: Cross multiply
    312,561.97x = 431,335.72 × 169,322.58
  4. Step 4: Simplify right side
    312,561.97x = 73,034,877,168.21
  5. Step 5: Solve for x
    x = 73,034,877,168.21/312,561.97
  6. Step 6: Final answer
    x = 233,665.27

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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.