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Finding the Fourth Proportional to 403,908.60, 605,862.90 and 137,645.40

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Solution

The fourth proportional to 403,908.60, 605,862.90 and 137,645.40 is: 206,468.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,908.60 : 605,862.90 = 137,645.40 : x
  2. Step 2: Convert to fraction form
    403,908.60/605,862.90 = 137,645.40/x
  3. Step 3: Cross multiply
    403,908.60x = 605,862.90 × 137,645.40
  4. Step 4: Simplify right side
    403,908.60x = 83,394,241,215.66
  5. Step 5: Solve for x
    x = 83,394,241,215.66/403,908.60
  6. Step 6: Final answer
    x = 206,468.10

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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.