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Finding the Fourth Proportional to 287,288.40, 430,931.44 and 87,608.21

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Solution

The fourth proportional to 287,288.40, 430,931.44 and 87,608.21 is: 131,411.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,288.40 : 430,931.44 = 87,608.21 : x
  2. Step 2: Convert to fraction form
    287,288.40/430,931.44 = 87,608.21/x
  3. Step 3: Cross multiply
    287,288.40x = 430,931.44 × 87,608.21
  4. Step 4: Simplify right side
    287,288.40x = 37,753,132,469.96
  5. Step 5: Solve for x
    x = 37,753,132,469.96/287,288.40
  6. Step 6: Final answer
    x = 131,411.96

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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.