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Finding the Fourth Proportional to 402,718.80, 555,754.02 and 221,442.42

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Solution

The fourth proportional to 402,718.80, 555,754.02 and 221,442.42 is: 305,591.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,718.80 : 555,754.02 = 221,442.42 : x
  2. Step 2: Convert to fraction form
    402,718.80/555,754.02 = 221,442.42/x
  3. Step 3: Cross multiply
    402,718.80x = 555,754.02 × 221,442.42
  4. Step 4: Simplify right side
    402,718.80x = 123,067,515,113.53
  5. Step 5: Solve for x
    x = 123,067,515,113.53/402,718.80
  6. Step 6: Final answer
    x = 305,591.68

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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.