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Finding the Fourth Proportional to 359,656, 496,325.28 and 200,680

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Solution

The fourth proportional to 359,656, 496,325.28 and 200,680 is: 276,938.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,656 : 496,325.28 = 200,680 : x
  2. Step 2: Convert to fraction form
    359,656/496,325.28 = 200,680/x
  3. Step 3: Cross multiply
    359,656x = 496,325.28 × 200,680
  4. Step 4: Simplify right side
    359,656x = 99,602,557,190.40
  5. Step 5: Solve for x
    x = 99,602,557,190.40/359,656
  6. Step 6: Final answer
    x = 276,938.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.