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Finding the Fourth Proportional to 316,451.49, 436,704.45 and 171,257.30

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Solution

The fourth proportional to 316,451.49, 436,704.45 and 171,257.30 is: 236,335.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,451.49 : 436,704.45 = 171,257.30 : x
  2. Step 2: Convert to fraction form
    316,451.49/436,704.45 = 171,257.30/x
  3. Step 3: Cross multiply
    316,451.49x = 436,704.45 × 171,257.30
  4. Step 4: Simplify right side
    316,451.49x = 74,788,823,311.15
  5. Step 5: Solve for x
    x = 74,788,823,311.15/316,451.49
  6. Step 6: Final answer
    x = 236,335.82

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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.