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Finding the Fourth Proportional to 213,709.20, 321,024.60 and 205,875.60

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Solution

The fourth proportional to 213,709.20, 321,024.60 and 205,875.60 is: 309,257.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,709.20 : 321,024.60 = 205,875.60 : x
  2. Step 2: Convert to fraction form
    213,709.20/321,024.60 = 205,875.60/x
  3. Step 3: Cross multiply
    213,709.20x = 321,024.60 × 205,875.60
  4. Step 4: Simplify right side
    213,709.20x = 66,091,132,139.76
  5. Step 5: Solve for x
    x = 66,091,132,139.76/213,709.20
  6. Step 6: Final answer
    x = 309,257.31

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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.