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Finding the Fourth Proportional to 230,241.60, 317,733.12 and 129,640.32

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Solution

The fourth proportional to 230,241.60, 317,733.12 and 129,640.32 is: 178,903.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,241.60 : 317,733.12 = 129,640.32 : x
  2. Step 2: Convert to fraction form
    230,241.60/317,733.12 = 129,640.32/x
  3. Step 3: Cross multiply
    230,241.60x = 317,733.12 × 129,640.32
  4. Step 4: Simplify right side
    230,241.60x = 41,191,023,351.40
  5. Step 5: Solve for x
    x = 41,191,023,351.40/230,241.60
  6. Step 6: Final answer
    x = 178,903.48

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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.