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Finding the Fourth Proportional to 410,305.72, 615,396.94 and 129,786.52

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Solution

The fourth proportional to 410,305.72, 615,396.94 and 129,786.52 is: 194,660.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,305.72 : 615,396.94 = 129,786.52 : x
  2. Step 2: Convert to fraction form
    410,305.72/615,396.94 = 129,786.52/x
  3. Step 3: Cross multiply
    410,305.72x = 615,396.94 × 129,786.52
  4. Step 4: Simplify right side
    410,305.72x = 79,870,227,261.25
  5. Step 5: Solve for x
    x = 79,870,227,261.25/410,305.72
  6. Step 6: Final answer
    x = 194,660.28

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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.