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Finding the Fourth Proportional to 230,472, 318,138.84 and 155,064.24

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Solution

The fourth proportional to 230,472, 318,138.84 and 155,064.24 is: 214,047.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,472 : 318,138.84 = 155,064.24 : x
  2. Step 2: Convert to fraction form
    230,472/318,138.84 = 155,064.24/x
  3. Step 3: Cross multiply
    230,472x = 318,138.84 × 155,064.24
  4. Step 4: Simplify right side
    230,472x = 49,331,957,439.08
  5. Step 5: Solve for x
    x = 49,331,957,439.08/230,472
  6. Step 6: Final answer
    x = 214,047.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.