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Finding the Fourth Proportional to 387,098.90, 580,422.36 and 150,164.72

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Solution

The fourth proportional to 387,098.90, 580,422.36 and 150,164.72 is: 225,159.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,098.90 : 580,422.36 = 150,164.72 : x
  2. Step 2: Convert to fraction form
    387,098.90/580,422.36 = 150,164.72/x
  3. Step 3: Cross multiply
    387,098.90x = 580,422.36 × 150,164.72
  4. Step 4: Simplify right side
    387,098.90x = 87,158,961,171.14
  5. Step 5: Solve for x
    x = 87,158,961,171.14/387,098.90
  6. Step 6: Final answer
    x = 225,159.41

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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.