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Finding the Fourth Proportional to 299,985.40, 413,980.14 and 172,685.80

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Solution

The fourth proportional to 299,985.40, 413,980.14 and 172,685.80 is: 238,306.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,985.40 : 413,980.14 = 172,685.80 : x
  2. Step 2: Convert to fraction form
    299,985.40/413,980.14 = 172,685.80/x
  3. Step 3: Cross multiply
    299,985.40x = 413,980.14 × 172,685.80
  4. Step 4: Simplify right side
    299,985.40x = 71,488,491,660.01
  5. Step 5: Solve for x
    x = 71,488,491,660.01/299,985.40
  6. Step 6: Final answer
    x = 238,306.57

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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.