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Finding the Fourth Proportional to 312,103.80, 466,989.30 and 207,127.80

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Solution

The fourth proportional to 312,103.80, 466,989.30 and 207,127.80 is: 309,917.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,103.80 : 466,989.30 = 207,127.80 : x
  2. Step 2: Convert to fraction form
    312,103.80/466,989.30 = 207,127.80/x
  3. Step 3: Cross multiply
    312,103.80x = 466,989.30 × 207,127.80
  4. Step 4: Simplify right side
    312,103.80x = 96,726,466,332.54
  5. Step 5: Solve for x
    x = 96,726,466,332.54/312,103.80
  6. Step 6: Final answer
    x = 309,917.62

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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.