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Finding the Fourth Proportional to 312,460.50, 468,712.62 and 125,472

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Solution

The fourth proportional to 312,460.50, 468,712.62 and 125,472 is: 188,216.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,460.50 : 468,712.62 = 125,472 : x
  2. Step 2: Convert to fraction form
    312,460.50/468,712.62 = 125,472/x
  3. Step 3: Cross multiply
    312,460.50x = 468,712.62 × 125,472
  4. Step 4: Simplify right side
    312,460.50x = 58,810,309,856.64
  5. Step 5: Solve for x
    x = 58,810,309,856.64/312,460.50
  6. Step 6: Final answer
    x = 188,216.78

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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.