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Finding the Fourth Proportional to 403,846.34, 605,769.51 and 137,469.74

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Solution

The fourth proportional to 403,846.34, 605,769.51 and 137,469.74 is: 206,204.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,846.34 : 605,769.51 = 137,469.74 : x
  2. Step 2: Convert to fraction form
    403,846.34/605,769.51 = 137,469.74/x
  3. Step 3: Cross multiply
    403,846.34x = 605,769.51 × 137,469.74
  4. Step 4: Simplify right side
    403,846.34x = 83,274,977,039.63
  5. Step 5: Solve for x
    x = 83,274,977,039.63/403,846.34
  6. Step 6: Final answer
    x = 206,204.61

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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.