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Finding the Fourth Proportional to 287,104.46, 430,678.65 and 87,441.86

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Solution

The fourth proportional to 287,104.46, 430,678.65 and 87,441.86 is: 131,169.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,104.46 : 430,678.65 = 87,441.86 : x
  2. Step 2: Convert to fraction form
    287,104.46/430,678.65 = 87,441.86/x
  3. Step 3: Cross multiply
    287,104.46x = 430,678.65 × 87,441.86
  4. Step 4: Simplify right side
    287,104.46x = 37,659,342,218.29
  5. Step 5: Solve for x
    x = 37,659,342,218.29/287,104.46
  6. Step 6: Final answer
    x = 131,169.48

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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.