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Finding the Fourth Proportional to 299,963.57, 414,053.97 and 172,689.89

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Solution

The fourth proportional to 299,963.57, 414,053.97 and 172,689.89 is: 238,372.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,963.57 : 414,053.97 = 172,689.89 : x
  2. Step 2: Convert to fraction form
    299,963.57/414,053.97 = 172,689.89/x
  3. Step 3: Cross multiply
    299,963.57x = 414,053.97 × 172,689.89
  4. Step 4: Simplify right side
    299,963.57x = 71,502,934,533.36
  5. Step 5: Solve for x
    x = 71,502,934,533.36/299,963.57
  6. Step 6: Final answer
    x = 238,372.06

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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.