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Finding the Fourth Proportional to 312,465.39, 431,202.80 and 169,225.44

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Solution

The fourth proportional to 312,465.39, 431,202.80 and 169,225.44 is: 233,531.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,465.39 : 431,202.80 = 169,225.44 : x
  2. Step 2: Convert to fraction form
    312,465.39/431,202.80 = 169,225.44/x
  3. Step 3: Cross multiply
    312,465.39x = 431,202.80 × 169,225.44
  4. Step 4: Simplify right side
    312,465.39x = 72,970,482,713.10
  5. Step 5: Solve for x
    x = 72,970,482,713.10/312,465.39
  6. Step 6: Final answer
    x = 233,531.41

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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.