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Finding the Fourth Proportional to 306,822, 423,453.24 and 172,711.92

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Solution

The fourth proportional to 306,822, 423,453.24 and 172,711.92 is: 238,364.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,822 : 423,453.24 = 172,711.92 : x
  2. Step 2: Convert to fraction form
    306,822/423,453.24 = 172,711.92/x
  3. Step 3: Cross multiply
    306,822x = 423,453.24 × 172,711.92
  4. Step 4: Simplify right side
    306,822x = 73,135,422,110.62
  5. Step 5: Solve for x
    x = 73,135,422,110.62/306,822
  6. Step 6: Final answer
    x = 238,364.34

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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.