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Finding the Fourth Proportional to 213,959.20, 320,938.80 and 210,848.80

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Solution

The fourth proportional to 213,959.20, 320,938.80 and 210,848.80 is: 316,273.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,959.20 : 320,938.80 = 210,848.80 : x
  2. Step 2: Convert to fraction form
    213,959.20/320,938.80 = 210,848.80/x
  3. Step 3: Cross multiply
    213,959.20x = 320,938.80 × 210,848.80
  4. Step 4: Simplify right side
    213,959.20x = 67,669,560,853.44
  5. Step 5: Solve for x
    x = 67,669,560,853.44/213,959.20
  6. Step 6: Final answer
    x = 316,273.20

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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.