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Finding the Fourth Proportional to 288,930.80, 433,104.60 and 131,272.40

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Solution

The fourth proportional to 288,930.80, 433,104.60 and 131,272.40 is: 196,776.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,930.80 : 433,104.60 = 131,272.40 : x
  2. Step 2: Convert to fraction form
    288,930.80/433,104.60 = 131,272.40/x
  3. Step 3: Cross multiply
    288,930.80x = 433,104.60 × 131,272.40
  4. Step 4: Simplify right side
    288,930.80x = 56,854,680,293.04
  5. Step 5: Solve for x
    x = 56,854,680,293.04/288,930.80
  6. Step 6: Final answer
    x = 196,776.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.