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Finding the Fourth Proportional to 218,264.40, 327,285.78 and 99,834.24

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Solution

The fourth proportional to 218,264.40, 327,285.78 and 99,834.24 is: 149,700.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,264.40 : 327,285.78 = 99,834.24 : x
  2. Step 2: Convert to fraction form
    218,264.40/327,285.78 = 99,834.24/x
  3. Step 3: Cross multiply
    218,264.40x = 327,285.78 × 99,834.24
  4. Step 4: Simplify right side
    218,264.40x = 32,674,327,109.11
  5. Step 5: Solve for x
    x = 32,674,327,109.11/218,264.40
  6. Step 6: Final answer
    x = 149,700.67

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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.