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Finding the Fourth Proportional to 809,398.34, 1,116,978.76 and 446,822.39

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Solution

The fourth proportional to 809,398.34, 1,116,978.76 and 446,822.39 is: 616,619.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,398.34 : 1,116,978.76 = 446,822.39 : x
  2. Step 2: Convert to fraction form
    809,398.34/1,116,978.76 = 446,822.39/x
  3. Step 3: Cross multiply
    809,398.34x = 1,116,978.76 × 446,822.39
  4. Step 4: Simplify right side
    809,398.34x = 499,091,122,473.41
  5. Step 5: Solve for x
    x = 499,091,122,473.41/809,398.34
  6. Step 6: Final answer
    x = 616,619.90

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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.