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Finding the Fourth Proportional to 213,878.20, 320,817.30 and 195,215.80

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Solution

The fourth proportional to 213,878.20, 320,817.30 and 195,215.80 is: 292,823.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,878.20 : 320,817.30 = 195,215.80 : x
  2. Step 2: Convert to fraction form
    213,878.20/320,817.30 = 195,215.80/x
  3. Step 3: Cross multiply
    213,878.20x = 320,817.30 × 195,215.80
  4. Step 4: Simplify right side
    213,878.20x = 62,628,605,873.34
  5. Step 5: Solve for x
    x = 62,628,605,873.34/213,878.20
  6. Step 6: Final answer
    x = 292,823.70

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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.