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Finding the Fourth Proportional to 403,845.34, 605,768.01 and 137,468.74

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Solution

The fourth proportional to 403,845.34, 605,768.01 and 137,468.74 is: 206,203.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,845.34 : 605,768.01 = 137,468.74 : x
  2. Step 2: Convert to fraction form
    403,845.34/605,768.01 = 137,468.74/x
  3. Step 3: Cross multiply
    403,845.34x = 605,768.01 × 137,468.74
  4. Step 4: Simplify right side
    403,845.34x = 83,274,165,067.01
  5. Step 5: Solve for x
    x = 83,274,165,067.01/403,845.34
  6. Step 6: Final answer
    x = 206,203.11

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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.