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Finding the Fourth Proportional to 309,813.71, 427,508.21 and 173,819.36

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Solution

The fourth proportional to 309,813.71, 427,508.21 and 173,819.36 is: 239,851.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,813.71 : 427,508.21 = 173,819.36 : x
  2. Step 2: Convert to fraction form
    309,813.71/427,508.21 = 173,819.36/x
  3. Step 3: Cross multiply
    309,813.71x = 427,508.21 × 173,819.36
  4. Step 4: Simplify right side
    309,813.71x = 74,309,204,960.26
  5. Step 5: Solve for x
    x = 74,309,204,960.26/309,813.71
  6. Step 6: Final answer
    x = 239,851.25

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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.