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Finding the Fourth Proportional to 213,875.20, 320,812.80 and 195,212.80

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Solution

The fourth proportional to 213,875.20, 320,812.80 and 195,212.80 is: 292,819.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,875.20 : 320,812.80 = 195,212.80 : x
  2. Step 2: Convert to fraction form
    213,875.20/320,812.80 = 195,212.80/x
  3. Step 3: Cross multiply
    213,875.20x = 320,812.80 × 195,212.80
  4. Step 4: Simplify right side
    213,875.20x = 62,626,764,963.84
  5. Step 5: Solve for x
    x = 62,626,764,963.84/213,875.20
  6. Step 6: Final answer
    x = 292,819.20

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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.