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Finding the Fourth Proportional to 262,856.78, 362,742 and 149,679.53

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Solution

The fourth proportional to 262,856.78, 362,742 and 149,679.53 is: 206,557.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,856.78 : 362,742 = 149,679.53 : x
  2. Step 2: Convert to fraction form
    262,856.78/362,742 = 149,679.53/x
  3. Step 3: Cross multiply
    262,856.78x = 362,742 × 149,679.53
  4. Step 4: Simplify right side
    262,856.78x = 54,295,052,071.26
  5. Step 5: Solve for x
    x = 54,295,052,071.26/262,856.78
  6. Step 6: Final answer
    x = 206,557.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.