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Finding the Fourth Proportional to 338,862.88, 508,045.21 and 161,494.45

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Solution

The fourth proportional to 338,862.88, 508,045.21 and 161,494.45 is: 242,122.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,862.88 : 508,045.21 = 161,494.45 : x
  2. Step 2: Convert to fraction form
    338,862.88/508,045.21 = 161,494.45/x
  3. Step 3: Cross multiply
    338,862.88x = 508,045.21 × 161,494.45
  4. Step 4: Simplify right side
    338,862.88x = 82,046,481,764.08
  5. Step 5: Solve for x
    x = 82,046,481,764.08/338,862.88
  6. Step 6: Final answer
    x = 242,122.95

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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.