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Finding the Fourth Proportional to 359,760, 539,666.16 and 138,144

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Solution

The fourth proportional to 359,760, 539,666.16 and 138,144 is: 207,226.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,760 : 539,666.16 = 138,144 : x
  2. Step 2: Convert to fraction form
    359,760/539,666.16 = 138,144/x
  3. Step 3: Cross multiply
    359,760x = 539,666.16 × 138,144
  4. Step 4: Simplify right side
    359,760x = 74,551,642,007.04
  5. Step 5: Solve for x
    x = 74,551,642,007.04/359,760
  6. Step 6: Final answer
    x = 207,226.05

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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.