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Finding the Fourth Proportional to 304,560.92, 419,542.80 and 259,093.20

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Solution

The fourth proportional to 304,560.92, 419,542.80 and 259,093.20 is: 356,909.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,560.92 : 419,542.80 = 259,093.20 : x
  2. Step 2: Convert to fraction form
    304,560.92/419,542.80 = 259,093.20/x
  3. Step 3: Cross multiply
    304,560.92x = 419,542.80 × 259,093.20
  4. Step 4: Simplify right side
    304,560.92x = 108,700,686,588.96
  5. Step 5: Solve for x
    x = 108,700,686,588.96/304,560.92
  6. Step 6: Final answer
    x = 356,909.50

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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.