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Finding the Fourth Proportional to 402,033.10, 554,801.80 and 220,743.44

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Solution

The fourth proportional to 402,033.10, 554,801.80 and 220,743.44 is: 304,623.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,033.10 : 554,801.80 = 220,743.44 : x
  2. Step 2: Convert to fraction form
    402,033.10/554,801.80 = 220,743.44/x
  3. Step 3: Cross multiply
    402,033.10x = 554,801.80 × 220,743.44
  4. Step 4: Simplify right side
    402,033.10x = 122,468,857,850.19
  5. Step 5: Solve for x
    x = 122,468,857,850.19/402,033.10
  6. Step 6: Final answer
    x = 304,623.82

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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.