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Finding the Fourth Proportional to 305,767.70, 422,159.27 and 198,643.04

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Solution

The fourth proportional to 305,767.70, 422,159.27 and 198,643.04 is: 274,257.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,767.70 : 422,159.27 = 198,643.04 : x
  2. Step 2: Convert to fraction form
    305,767.70/422,159.27 = 198,643.04/x
  3. Step 3: Cross multiply
    305,767.70x = 422,159.27 × 198,643.04
  4. Step 4: Simplify right side
    305,767.70x = 83,859,000,756.98
  5. Step 5: Solve for x
    x = 83,859,000,756.98/305,767.70
  6. Step 6: Final answer
    x = 274,257.22

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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.