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Finding the Fourth Proportional to 228,407.73, 342,634.41 and 78,628.20

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Solution

The fourth proportional to 228,407.73, 342,634.41 and 78,628.20 is: 117,950.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,407.73 : 342,634.41 = 78,628.20 : x
  2. Step 2: Convert to fraction form
    228,407.73/342,634.41 = 78,628.20/x
  3. Step 3: Cross multiply
    228,407.73x = 342,634.41 × 78,628.20
  4. Step 4: Simplify right side
    228,407.73x = 26,940,726,916.36
  5. Step 5: Solve for x
    x = 26,940,726,916.36/228,407.73
  6. Step 6: Final answer
    x = 117,950.15

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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.