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Finding the Fourth Proportional to 218,502, 327,731.04 and 159,453

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Solution

The fourth proportional to 218,502, 327,731.04 and 159,453 is: 239,163.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,502 : 327,731.04 = 159,453 : x
  2. Step 2: Convert to fraction form
    218,502/327,731.04 = 159,453/x
  3. Step 3: Cross multiply
    218,502x = 327,731.04 × 159,453
  4. Step 4: Simplify right side
    218,502x = 52,257,697,521.12
  5. Step 5: Solve for x
    x = 52,257,697,521.12/218,502
  6. Step 6: Final answer
    x = 239,163.47

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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.