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Finding the Fourth Proportional to 403,917.80, 605,876.70 and 137,978.60

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Solution

The fourth proportional to 403,917.80, 605,876.70 and 137,978.60 is: 206,967.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,917.80 : 605,876.70 = 137,978.60 : x
  2. Step 2: Convert to fraction form
    403,917.80/605,876.70 = 137,978.60/x
  3. Step 3: Cross multiply
    403,917.80x = 605,876.70 × 137,978.60
  4. Step 4: Simplify right side
    403,917.80x = 83,598,018,838.62
  5. Step 5: Solve for x
    x = 83,598,018,838.62/403,917.80
  6. Step 6: Final answer
    x = 206,967.90

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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.