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Finding the Fourth Proportional to 312,104.22, 468,000.45 and 101,715.90

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Solution

The fourth proportional to 312,104.22, 468,000.45 and 101,715.90 is: 152,523.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,104.22 : 468,000.45 = 101,715.90 : x
  2. Step 2: Convert to fraction form
    312,104.22/468,000.45 = 101,715.90/x
  3. Step 3: Cross multiply
    312,104.22x = 468,000.45 × 101,715.90
  4. Step 4: Simplify right side
    312,104.22x = 47,603,086,972.16
  5. Step 5: Solve for x
    x = 47,603,086,972.16/312,104.22
  6. Step 6: Final answer
    x = 152,523.05

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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.