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Finding the Fourth Proportional to 261,854.82, 361,371.51 and 154,429.38

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Solution

The fourth proportional to 261,854.82, 361,371.51 and 154,429.38 is: 213,119.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,854.82 : 361,371.51 = 154,429.38 : x
  2. Step 2: Convert to fraction form
    261,854.82/361,371.51 = 154,429.38/x
  3. Step 3: Cross multiply
    261,854.82x = 361,371.51 × 154,429.38
  4. Step 4: Simplify right side
    261,854.82x = 55,806,378,238.96
  5. Step 5: Solve for x
    x = 55,806,378,238.96/261,854.82
  6. Step 6: Final answer
    x = 213,119.54

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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.