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Finding the Fourth Proportional to 287,102.58, 430,489.77 and 87,363.90

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Solution

The fourth proportional to 287,102.58, 430,489.77 and 87,363.90 is: 130,995.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,102.58 : 430,489.77 = 87,363.90 : x
  2. Step 2: Convert to fraction form
    287,102.58/430,489.77 = 87,363.90/x
  3. Step 3: Cross multiply
    287,102.58x = 430,489.77 × 87,363.90
  4. Step 4: Simplify right side
    287,102.58x = 37,609,265,217.30
  5. Step 5: Solve for x
    x = 37,609,265,217.30/287,102.58
  6. Step 6: Final answer
    x = 130,995.92

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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.