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Finding the Fourth Proportional to 359,089.40, 538,468.49 and 106,279.49

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Solution

The fourth proportional to 359,089.40, 538,468.49 and 106,279.49 is: 159,370.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,089.40 : 538,468.49 = 106,279.49 : x
  2. Step 2: Convert to fraction form
    359,089.40/538,468.49 = 106,279.49/x
  3. Step 3: Cross multiply
    359,089.40x = 538,468.49 × 106,279.49
  4. Step 4: Simplify right side
    359,089.40x = 57,228,156,498.27
  5. Step 5: Solve for x
    x = 57,228,156,498.27/359,089.40
  6. Step 6: Final answer
    x = 159,370.22

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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.