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Finding the Fourth Proportional to 401,661.73, 602,494.67 and 135,424.57

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Solution

The fourth proportional to 401,661.73, 602,494.67 and 135,424.57 is: 203,137.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,661.73 : 602,494.67 = 135,424.57 : x
  2. Step 2: Convert to fraction form
    401,661.73/602,494.67 = 135,424.57/x
  3. Step 3: Cross multiply
    401,661.73x = 602,494.67 × 135,424.57
  4. Step 4: Simplify right side
    401,661.73x = 81,592,581,612.04
  5. Step 5: Solve for x
    x = 81,592,581,612.04/401,661.73
  6. Step 6: Final answer
    x = 203,137.55

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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.