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Finding the Fourth Proportional to 468,361, 646,161.78 and 307,304.92

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Solution

The fourth proportional to 468,361, 646,161.78 and 307,304.92 is: 423,965.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,361 : 646,161.78 = 307,304.92 : x
  2. Step 2: Convert to fraction form
    468,361/646,161.78 = 307,304.92/x
  3. Step 3: Cross multiply
    468,361x = 646,161.78 × 307,304.92
  4. Step 4: Simplify right side
    468,361x = 198,568,694,109.96
  5. Step 5: Solve for x
    x = 198,568,694,109.96/468,361
  6. Step 6: Final answer
    x = 423,965.05

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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.