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Finding the Fourth Proportional to 210,348.98, 289,932.05 and 149,016.47

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Solution

The fourth proportional to 210,348.98, 289,932.05 and 149,016.47 is: 205,395.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,348.98 : 289,932.05 = 149,016.47 : x
  2. Step 2: Convert to fraction form
    210,348.98/289,932.05 = 149,016.47/x
  3. Step 3: Cross multiply
    210,348.98x = 289,932.05 × 149,016.47
  4. Step 4: Simplify right side
    210,348.98x = 43,204,648,436.12
  5. Step 5: Solve for x
    x = 43,204,648,436.12/210,348.98
  6. Step 6: Final answer
    x = 205,395.10

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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.