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Finding the Fourth Proportional to 359,681.40, 538,874.10 and 172,279.80

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Solution

The fourth proportional to 359,681.40, 538,874.10 and 172,279.80 is: 258,109.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,681.40 : 538,874.10 = 172,279.80 : x
  2. Step 2: Convert to fraction form
    359,681.40/538,874.10 = 172,279.80/x
  3. Step 3: Cross multiply
    359,681.40x = 538,874.10 × 172,279.80
  4. Step 4: Simplify right side
    359,681.40x = 92,837,122,173.18
  5. Step 5: Solve for x
    x = 92,837,122,173.18/359,681.40
  6. Step 6: Final answer
    x = 258,109.32

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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.