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Finding the Fourth Proportional to 306,401.84, 422,833.48 and 172,265.84

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Solution

The fourth proportional to 306,401.84, 422,833.48 and 172,265.84 is: 237,726.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,401.84 : 422,833.48 = 172,265.84 : x
  2. Step 2: Convert to fraction form
    306,401.84/422,833.48 = 172,265.84/x
  3. Step 3: Cross multiply
    306,401.84x = 422,833.48 × 172,265.84
  4. Step 4: Simplify right side
    306,401.84x = 72,839,764,612.32
  5. Step 5: Solve for x
    x = 72,839,764,612.32/306,401.84
  6. Step 6: Final answer
    x = 237,726.26

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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.