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Finding the Fourth Proportional to 245,892.80, 368,320.80 and 204,420.80

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Solution

The fourth proportional to 245,892.80, 368,320.80 and 204,420.80 is: 306,200.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,892.80 : 368,320.80 = 204,420.80 : x
  2. Step 2: Convert to fraction form
    245,892.80/368,320.80 = 204,420.80/x
  3. Step 3: Cross multiply
    245,892.80x = 368,320.80 × 204,420.80
  4. Step 4: Simplify right side
    245,892.80x = 75,292,432,592.64
  5. Step 5: Solve for x
    x = 75,292,432,592.64/245,892.80
  6. Step 6: Final answer
    x = 306,200.23

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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.