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Finding the Fourth Proportional to 402,713.43, 555,758.81 and 221,439.16

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Solution

The fourth proportional to 402,713.43, 555,758.81 and 221,439.16 is: 305,593.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,713.43 : 555,758.81 = 221,439.16 : x
  2. Step 2: Convert to fraction form
    402,713.43/555,758.81 = 221,439.16/x
  3. Step 3: Cross multiply
    402,713.43x = 555,758.81 × 221,439.16
  4. Step 4: Simplify right side
    402,713.43x = 123,066,764,049.00
  5. Step 5: Solve for x
    x = 123,066,764,049.00/402,713.43
  6. Step 6: Final answer
    x = 305,593.89

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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.