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Finding the Fourth Proportional to 287,190.56, 430,785.84 and 129,234.48

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Solution

The fourth proportional to 287,190.56, 430,785.84 and 129,234.48 is: 193,851.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,190.56 : 430,785.84 = 129,234.48 : x
  2. Step 2: Convert to fraction form
    287,190.56/430,785.84 = 129,234.48/x
  3. Step 3: Cross multiply
    287,190.56x = 430,785.84 × 129,234.48
  4. Step 4: Simplify right side
    287,190.56x = 55,672,384,023.76
  5. Step 5: Solve for x
    x = 55,672,384,023.76/287,190.56
  6. Step 6: Final answer
    x = 193,851.72

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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.