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Finding the Fourth Proportional to 403,922.60, 605,883.90 and 137,659.40

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Solution

The fourth proportional to 403,922.60, 605,883.90 and 137,659.40 is: 206,489.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,922.60 : 605,883.90 = 137,659.40 : x
  2. Step 2: Convert to fraction form
    403,922.60/605,883.90 = 137,659.40/x
  3. Step 3: Cross multiply
    403,922.60x = 605,883.90 × 137,659.40
  4. Step 4: Simplify right side
    403,922.60x = 83,405,614,143.66
  5. Step 5: Solve for x
    x = 83,405,614,143.66/403,922.60
  6. Step 6: Final answer
    x = 206,489.10

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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.