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Finding the Fourth Proportional to 217,427.88, 299,947.14 and 144,864.48

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Solution

The fourth proportional to 217,427.88, 299,947.14 and 144,864.48 is: 199,844.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,427.88 : 299,947.14 = 144,864.48 : x
  2. Step 2: Convert to fraction form
    217,427.88/299,947.14 = 144,864.48/x
  3. Step 3: Cross multiply
    217,427.88x = 299,947.14 × 144,864.48
  4. Step 4: Simplify right side
    217,427.88x = 43,451,686,463.59
  5. Step 5: Solve for x
    x = 43,451,686,463.59/217,427.88
  6. Step 6: Final answer
    x = 199,844.13

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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.