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Finding the Fourth Proportional to 408,144.16, 612,260.89 and 138,467.01

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Solution

The fourth proportional to 408,144.16, 612,260.89 and 138,467.01 is: 207,715.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,144.16 : 612,260.89 = 138,467.01 : x
  2. Step 2: Convert to fraction form
    408,144.16/612,260.89 = 138,467.01/x
  3. Step 3: Cross multiply
    408,144.16x = 612,260.89 × 138,467.01
  4. Step 4: Simplify right side
    408,144.16x = 84,777,934,432.07
  5. Step 5: Solve for x
    x = 84,777,934,432.07/408,144.16
  6. Step 6: Final answer
    x = 207,715.66

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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.