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Finding the Fourth Proportional to 270,476.12, 405,947.46 and 104,380.76

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Solution

The fourth proportional to 270,476.12, 405,947.46 and 104,380.76 is: 156,661.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,476.12 : 405,947.46 = 104,380.76 : x
  2. Step 2: Convert to fraction form
    270,476.12/405,947.46 = 104,380.76/x
  3. Step 3: Cross multiply
    270,476.12x = 405,947.46 × 104,380.76
  4. Step 4: Simplify right side
    270,476.12x = 42,373,104,394.87
  5. Step 5: Solve for x
    x = 42,373,104,394.87/270,476.12
  6. Step 6: Final answer
    x = 156,661.17

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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.