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Finding the Fourth Proportional to 462,380.28, 638,063.82 and 290,387.40

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Solution

The fourth proportional to 462,380.28, 638,063.82 and 290,387.40 is: 400,721.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,380.28 : 638,063.82 = 290,387.40 : x
  2. Step 2: Convert to fraction form
    462,380.28/638,063.82 = 290,387.40/x
  3. Step 3: Cross multiply
    462,380.28x = 638,063.82 × 290,387.40
  4. Step 4: Simplify right side
    462,380.28x = 185,285,693,723.87
  5. Step 5: Solve for x
    x = 185,285,693,723.87/462,380.28
  6. Step 6: Final answer
    x = 400,721.44

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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.