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Finding the Fourth Proportional to 303,409, 455,113.50 and 81,793

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Solution

The fourth proportional to 303,409, 455,113.50 and 81,793 is: 122,689.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,409 : 455,113.50 = 81,793 : x
  2. Step 2: Convert to fraction form
    303,409/455,113.50 = 81,793/x
  3. Step 3: Cross multiply
    303,409x = 455,113.50 × 81,793
  4. Step 4: Simplify right side
    303,409x = 37,225,098,505.50
  5. Step 5: Solve for x
    x = 37,225,098,505.50/303,409
  6. Step 6: Final answer
    x = 122,689.50

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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.