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Finding the Fourth Proportional to 485,736.40, 728,431.80 and 219,624.40

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Solution

The fourth proportional to 485,736.40, 728,431.80 and 219,624.40 is: 329,358.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,736.40 : 728,431.80 = 219,624.40 : x
  2. Step 2: Convert to fraction form
    485,736.40/728,431.80 = 219,624.40/x
  3. Step 3: Cross multiply
    485,736.40x = 728,431.80 × 219,624.40
  4. Step 4: Simplify right side
    485,736.40x = 159,981,397,015.92
  5. Step 5: Solve for x
    x = 159,981,397,015.92/485,736.40
  6. Step 6: Final answer
    x = 329,358.47

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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.