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Finding the Fourth Proportional to 306,276, 422,660.88 and 172,140

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Solution

The fourth proportional to 306,276, 422,660.88 and 172,140 is: 237,553.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,276 : 422,660.88 = 172,140 : x
  2. Step 2: Convert to fraction form
    306,276/422,660.88 = 172,140/x
  3. Step 3: Cross multiply
    306,276x = 422,660.88 × 172,140
  4. Step 4: Simplify right side
    306,276x = 72,756,843,883.20
  5. Step 5: Solve for x
    x = 72,756,843,883.20/306,276
  6. Step 6: Final answer
    x = 237,553.20

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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.