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Finding the Fourth Proportional to 312,809.30, 431,677.41 and 169,568.90

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Solution

The fourth proportional to 312,809.30, 431,677.41 and 169,568.90 is: 234,005.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,809.30 : 431,677.41 = 169,568.90 : x
  2. Step 2: Convert to fraction form
    312,809.30/431,677.41 = 169,568.90/x
  3. Step 3: Cross multiply
    312,809.30x = 431,677.41 × 169,568.90
  4. Step 4: Simplify right side
    312,809.30x = 73,199,063,568.55
  5. Step 5: Solve for x
    x = 73,199,063,568.55/312,809.30
  6. Step 6: Final answer
    x = 234,005.39

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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.