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Finding the Fourth Proportional to 306,206.79, 422,418.13 and 198,810.51

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Solution

The fourth proportional to 306,206.79, 422,418.13 and 198,810.51 is: 274,262.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,206.79 : 422,418.13 = 198,810.51 : x
  2. Step 2: Convert to fraction form
    306,206.79/422,418.13 = 198,810.51/x
  3. Step 3: Cross multiply
    306,206.79x = 422,418.13 × 198,810.51
  4. Step 4: Simplify right side
    306,206.79x = 83,981,163,858.55
  5. Step 5: Solve for x
    x = 83,981,163,858.55/306,206.79
  6. Step 6: Final answer
    x = 274,262.91

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1.5x scale

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.