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Finding the Fourth Proportional to 527,279.10, 790,955.54 and 211,736

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Solution

The fourth proportional to 527,279.10, 790,955.54 and 211,736 is: 317,618.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,279.10 : 790,955.54 = 211,736 : x
  2. Step 2: Convert to fraction form
    527,279.10/790,955.54 = 211,736/x
  3. Step 3: Cross multiply
    527,279.10x = 790,955.54 × 211,736
  4. Step 4: Simplify right side
    527,279.10x = 167,473,762,217.44
  5. Step 5: Solve for x
    x = 167,473,762,217.44/527,279.10
  6. Step 6: Final answer
    x = 317,618.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.