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Finding the Fourth Proportional to 408,152.78, 612,273.83 and 138,475.64

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Solution

The fourth proportional to 408,152.78, 612,273.83 and 138,475.64 is: 207,728.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,152.78 : 612,273.83 = 138,475.64 : x
  2. Step 2: Convert to fraction form
    408,152.78/612,273.83 = 138,475.64/x
  3. Step 3: Cross multiply
    408,152.78x = 612,273.83 × 138,475.64
  4. Step 4: Simplify right side
    408,152.78x = 84,785,006,710.75
  5. Step 5: Solve for x
    x = 84,785,006,710.75/408,152.78
  6. Step 6: Final answer
    x = 207,728.60

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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.