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Finding the Fourth Proportional to 615,844.80, 923,896.80 and 195,163.20

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Solution

The fourth proportional to 615,844.80, 923,896.80 and 195,163.20 is: 292,785.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,844.80 : 923,896.80 = 195,163.20 : x
  2. Step 2: Convert to fraction form
    615,844.80/923,896.80 = 195,163.20/x
  3. Step 3: Cross multiply
    615,844.80x = 923,896.80 × 195,163.20
  4. Step 4: Simplify right side
    615,844.80x = 180,310,655,957.76
  5. Step 5: Solve for x
    x = 180,310,655,957.76/615,844.80
  6. Step 6: Final answer
    x = 292,785.87

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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.