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Finding the Fourth Proportional to 485,730.09, 728,584.20 and 219,419.10

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Solution

The fourth proportional to 485,730.09, 728,584.20 and 219,419.10 is: 329,123.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,730.09 : 728,584.20 = 219,419.10 : x
  2. Step 2: Convert to fraction form
    485,730.09/728,584.20 = 219,419.10/x
  3. Step 3: Cross multiply
    485,730.09x = 728,584.20 × 219,419.10
  4. Step 4: Simplify right side
    485,730.09x = 159,865,289,438.22
  5. Step 5: Solve for x
    x = 159,865,289,438.22/485,730.09
  6. Step 6: Final answer
    x = 329,123.71

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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.