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Finding the Fourth Proportional to 359,764, 539,672.16 and 138,148

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Solution

The fourth proportional to 359,764, 539,672.16 and 138,148 is: 207,232.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,764 : 539,672.16 = 138,148 : x
  2. Step 2: Convert to fraction form
    359,764/539,672.16 = 138,148/x
  3. Step 3: Cross multiply
    359,764x = 539,672.16 × 138,148
  4. Step 4: Simplify right side
    359,764x = 74,554,629,559.68
  5. Step 5: Solve for x
    x = 74,554,629,559.68/359,764
  6. Step 6: Final answer
    x = 207,232.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.