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Finding the Fourth Proportional to 402,756.66, 555,785.10 and 221,476.20

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Solution

The fourth proportional to 402,756.66, 555,785.10 and 221,476.20 is: 305,626.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,756.66 : 555,785.10 = 221,476.20 : x
  2. Step 2: Convert to fraction form
    402,756.66/555,785.10 = 221,476.20/x
  3. Step 3: Cross multiply
    402,756.66x = 555,785.10 × 221,476.20
  4. Step 4: Simplify right side
    402,756.66x = 123,093,171,964.62
  5. Step 5: Solve for x
    x = 123,093,171,964.62/402,756.66
  6. Step 6: Final answer
    x = 305,626.66

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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.