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Finding the Fourth Proportional to 312,326.64, 431,012.97 and 169,087.05

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Solution

The fourth proportional to 312,326.64, 431,012.97 and 169,087.05 is: 233,341.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,326.64 : 431,012.97 = 169,087.05 : x
  2. Step 2: Convert to fraction form
    312,326.64/431,012.97 = 169,087.05/x
  3. Step 3: Cross multiply
    312,326.64x = 431,012.97 × 169,087.05
  4. Step 4: Simplify right side
    312,326.64x = 72,878,711,609.04
  5. Step 5: Solve for x
    x = 72,878,711,609.04/312,326.64
  6. Step 6: Final answer
    x = 233,341.32

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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.