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Finding the Fourth Proportional to 311,922.20, 468,045.30 and 145,710.20

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Solution

The fourth proportional to 311,922.20, 468,045.30 and 145,710.20 is: 218,640.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,922.20 : 468,045.30 = 145,710.20 : x
  2. Step 2: Convert to fraction form
    311,922.20/468,045.30 = 145,710.20/x
  3. Step 3: Cross multiply
    311,922.20x = 468,045.30 × 145,710.20
  4. Step 4: Simplify right side
    311,922.20x = 68,198,974,272.06
  5. Step 5: Solve for x
    x = 68,198,974,272.06/311,922.20
  6. Step 6: Final answer
    x = 218,640.98

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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.