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Finding the Fourth Proportional to 216,474.12, 324,543.51 and 149,721.21

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Solution

The fourth proportional to 216,474.12, 324,543.51 and 149,721.21 is: 224,465.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,474.12 : 324,543.51 = 149,721.21 : x
  2. Step 2: Convert to fraction form
    216,474.12/324,543.51 = 149,721.21/x
  3. Step 3: Cross multiply
    216,474.12x = 324,543.51 × 149,721.21
  4. Step 4: Simplify right side
    216,474.12x = 48,591,047,014.85
  5. Step 5: Solve for x
    x = 48,591,047,014.85/216,474.12
  6. Step 6: Final answer
    x = 224,465.85

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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.