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Finding the Fourth Proportional to 359,102.40, 538,005.60 and 171,700.80

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Solution

The fourth proportional to 359,102.40, 538,005.60 and 171,700.80 is: 257,241.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,102.40 : 538,005.60 = 171,700.80 : x
  2. Step 2: Convert to fraction form
    359,102.40/538,005.60 = 171,700.80/x
  3. Step 3: Cross multiply
    359,102.40x = 538,005.60 × 171,700.80
  4. Step 4: Simplify right side
    359,102.40x = 92,375,991,924.48
  5. Step 5: Solve for x
    x = 92,375,991,924.48/359,102.40
  6. Step 6: Final answer
    x = 257,241.37

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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.