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Finding the Fourth Proportional to 359,969.76, 539,954.64 and 138,198.24

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Solution

The fourth proportional to 359,969.76, 539,954.64 and 138,198.24 is: 207,297.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,969.76 : 539,954.64 = 138,198.24 : x
  2. Step 2: Convert to fraction form
    359,969.76/539,954.64 = 138,198.24/x
  3. Step 3: Cross multiply
    359,969.76x = 539,954.64 × 138,198.24
  4. Step 4: Simplify right side
    359,969.76x = 74,620,780,927.83
  5. Step 5: Solve for x
    x = 74,620,780,927.83/359,969.76
  6. Step 6: Final answer
    x = 207,297.36

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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.