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Finding the Fourth Proportional to 402,751.46, 555,785.25 and 221,463.20

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Solution

The fourth proportional to 402,751.46, 555,785.25 and 221,463.20 is: 305,612.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,751.46 : 555,785.25 = 221,463.20 : x
  2. Step 2: Convert to fraction form
    402,751.46/555,785.25 = 221,463.20/x
  3. Step 3: Cross multiply
    402,751.46x = 555,785.25 × 221,463.20
  4. Step 4: Simplify right side
    402,751.46x = 123,085,979,977.80
  5. Step 5: Solve for x
    x = 123,085,979,977.80/402,751.46
  6. Step 6: Final answer
    x = 305,612.75

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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.