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Finding the Fourth Proportional to 305,767.71, 422,159.28 and 198,643.05

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Solution

The fourth proportional to 305,767.71, 422,159.28 and 198,643.05 is: 274,257.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,767.71 : 422,159.28 = 198,643.05 : x
  2. Step 2: Convert to fraction form
    305,767.71/422,159.28 = 198,643.05/x
  3. Step 3: Cross multiply
    305,767.71x = 422,159.28 × 198,643.05
  4. Step 4: Simplify right side
    305,767.71x = 83,859,006,965.00
  5. Step 5: Solve for x
    x = 83,859,006,965.00/305,767.71
  6. Step 6: Final answer
    x = 274,257.24

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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.