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Finding the Fourth Proportional to 805,218.76, 1,111,201.50 and 442,666

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Solution

The fourth proportional to 805,218.76, 1,111,201.50 and 442,666 is: 610,878.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    805,218.76 : 1,111,201.50 = 442,666 : x
  2. Step 2: Convert to fraction form
    805,218.76/1,111,201.50 = 442,666/x
  3. Step 3: Cross multiply
    805,218.76x = 1,111,201.50 × 442,666
  4. Step 4: Simplify right side
    805,218.76x = 491,891,123,199
  5. Step 5: Solve for x
    x = 491,891,123,199/805,218.76
  6. Step 6: Final answer
    x = 610,878.87

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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.