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Finding the Fourth Proportional to 486,343, 729,517.74 and 153,919

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Solution

The fourth proportional to 486,343, 729,517.74 and 153,919 is: 230,879.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,343 : 729,517.74 = 153,919 : x
  2. Step 2: Convert to fraction form
    486,343/729,517.74 = 153,919/x
  3. Step 3: Cross multiply
    486,343x = 729,517.74 × 153,919
  4. Step 4: Simplify right side
    486,343x = 112,286,641,023.06
  5. Step 5: Solve for x
    x = 112,286,641,023.06/486,343
  6. Step 6: Final answer
    x = 230,879.53

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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.