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Finding the Fourth Proportional to 312,859.92, 468,753.51 and 210,084.60

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Solution

The fourth proportional to 312,859.92, 468,753.51 and 210,084.60 is: 314,766.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,859.92 : 468,753.51 = 210,084.60 : x
  2. Step 2: Convert to fraction form
    312,859.92/468,753.51 = 210,084.60/x
  3. Step 3: Cross multiply
    312,859.92x = 468,753.51 × 210,084.60
  4. Step 4: Simplify right side
    312,859.92x = 98,477,893,646.95
  5. Step 5: Solve for x
    x = 98,477,893,646.95/312,859.92
  6. Step 6: Final answer
    x = 314,766.73

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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.