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Finding the Fourth Proportional to 306,891, 423,394.89 and 306,417.84

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Solution

The fourth proportional to 306,891, 423,394.89 and 306,417.84 is: 422,742.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,891 : 423,394.89 = 306,417.84 : x
  2. Step 2: Convert to fraction form
    306,891/423,394.89 = 306,417.84/x
  3. Step 3: Cross multiply
    306,891x = 423,394.89 × 306,417.84
  4. Step 4: Simplify right side
    306,891x = 129,735,747,660.84
  5. Step 5: Solve for x
    x = 129,735,747,660.84/306,891
  6. Step 6: Final answer
    x = 422,742.11

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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.