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Finding the Fourth Proportional to 359,278.82, 495,788.10 and 206,209.28

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Solution

The fourth proportional to 359,278.82, 495,788.10 and 206,209.28 is: 284,559.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,278.82 : 495,788.10 = 206,209.28 : x
  2. Step 2: Convert to fraction form
    359,278.82/495,788.10 = 206,209.28/x
  3. Step 3: Cross multiply
    359,278.82x = 495,788.10 × 206,209.28
  4. Step 4: Simplify right side
    359,278.82x = 102,236,107,599.75
  5. Step 5: Solve for x
    x = 102,236,107,599.75/359,278.82
  6. Step 6: Final answer
    x = 284,559.24

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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.