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Finding the Fourth Proportional to 642,508.40, 886,612.82 and 356,022.33

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Solution

The fourth proportional to 642,508.40, 886,612.82 and 356,022.33 is: 491,283.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,508.40 : 886,612.82 = 356,022.33 : x
  2. Step 2: Convert to fraction form
    642,508.40/886,612.82 = 356,022.33/x
  3. Step 3: Cross multiply
    642,508.40x = 886,612.82 × 356,022.33
  4. Step 4: Simplify right side
    642,508.40x = 315,653,960,204.16
  5. Step 5: Solve for x
    x = 315,653,960,204.16/642,508.40
  6. Step 6: Final answer
    x = 491,283.79

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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.