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Finding the Fourth Proportional to 359,207.80, 538,466.10 and 279,201.40

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Solution

The fourth proportional to 359,207.80, 538,466.10 and 279,201.40 is: 418,533.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,207.80 : 538,466.10 = 279,201.40 : x
  2. Step 2: Convert to fraction form
    359,207.80/538,466.10 = 279,201.40/x
  3. Step 3: Cross multiply
    359,207.80x = 538,466.10 × 279,201.40
  4. Step 4: Simplify right side
    359,207.80x = 150,340,488,972.54
  5. Step 5: Solve for x
    x = 150,340,488,972.54/359,207.80
  6. Step 6: Final answer
    x = 418,533.48

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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.