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Finding the Fourth Proportional to 309,694.25, 464,227.71 and 209,864.59

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Solution

The fourth proportional to 309,694.25, 464,227.71 and 209,864.59 is: 314,584.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,694.25 : 464,227.71 = 209,864.59 : x
  2. Step 2: Convert to fraction form
    309,694.25/464,227.71 = 209,864.59/x
  3. Step 3: Cross multiply
    309,694.25x = 464,227.71 × 209,864.59
  4. Step 4: Simplify right side
    309,694.25x = 97,424,956,078.23
  5. Step 5: Solve for x
    x = 97,424,956,078.23/309,694.25
  6. Step 6: Final answer
    x = 314,584.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.