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Finding the Fourth Proportional to 359,812, 539,744.16 and 138,196

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Solution

The fourth proportional to 359,812, 539,744.16 and 138,196 is: 207,304.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,812 : 539,744.16 = 138,196 : x
  2. Step 2: Convert to fraction form
    359,812/539,744.16 = 138,196/x
  3. Step 3: Cross multiply
    359,812x = 539,744.16 × 138,196
  4. Step 4: Simplify right side
    359,812x = 74,590,483,935.36
  5. Step 5: Solve for x
    x = 74,590,483,935.36/359,812
  6. Step 6: Final answer
    x = 207,304.05

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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.