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Finding the Fourth Proportional to 402,086.16, 554,857.02 and 220,821.84

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Solution

The fourth proportional to 402,086.16, 554,857.02 and 220,821.84 is: 304,722.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,086.16 : 554,857.02 = 220,821.84 : x
  2. Step 2: Convert to fraction form
    402,086.16/554,857.02 = 220,821.84/x
  3. Step 3: Cross multiply
    402,086.16x = 554,857.02 × 220,821.84
  4. Step 4: Simplify right side
    402,086.16x = 122,524,548,093.32
  5. Step 5: Solve for x
    x = 122,524,548,093.32/402,086.16
  6. Step 6: Final answer
    x = 304,722.12

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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.