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Finding the Fourth Proportional to 270,474.12, 405,944.46 and 104,378.76

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Solution

The fourth proportional to 270,474.12, 405,944.46 and 104,378.76 is: 156,658.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,474.12 : 405,944.46 = 104,378.76 : x
  2. Step 2: Convert to fraction form
    270,474.12/405,944.46 = 104,378.76/x
  3. Step 3: Cross multiply
    270,474.12x = 405,944.46 × 104,378.76
  4. Step 4: Simplify right side
    270,474.12x = 42,371,979,363.67
  5. Step 5: Solve for x
    x = 42,371,979,363.67/270,474.12
  6. Step 6: Final answer
    x = 156,658.17

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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.