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Finding the Fourth Proportional to 810,597, 1,215,920.19 and 278,110.56

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Solution

The fourth proportional to 810,597, 1,215,920.19 and 278,110.56 is: 417,174.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,597 : 1,215,920.19 = 278,110.56 : x
  2. Step 2: Convert to fraction form
    810,597/1,215,920.19 = 278,110.56/x
  3. Step 3: Cross multiply
    810,597x = 1,215,920.19 × 278,110.56
  4. Step 4: Simplify right side
    810,597x = 338,160,244,956.21
  5. Step 5: Solve for x
    x = 338,160,244,956.21/810,597
  6. Step 6: Final answer
    x = 417,174.31

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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.