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Finding the Fourth Proportional to 378,264.71, 567,286.34 and 311,539.34

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Solution

The fourth proportional to 378,264.71, 567,286.34 and 311,539.34 is: 467,217.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,264.71 : 567,286.34 = 311,539.34 : x
  2. Step 2: Convert to fraction form
    378,264.71/567,286.34 = 311,539.34/x
  3. Step 3: Cross multiply
    378,264.71x = 567,286.34 × 311,539.34
  4. Step 4: Simplify right side
    378,264.71x = 176,732,009,118.18
  5. Step 5: Solve for x
    x = 176,732,009,118.18/378,264.71
  6. Step 6: Final answer
    x = 467,217.82

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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.