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Finding the Fourth Proportional to 405,387.20, 608,025.60 and 105,891.20

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Solution

The fourth proportional to 405,387.20, 608,025.60 and 105,891.20 is: 158,822.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,387.20 : 608,025.60 = 105,891.20 : x
  2. Step 2: Convert to fraction form
    405,387.20/608,025.60 = 105,891.20/x
  3. Step 3: Cross multiply
    405,387.20x = 608,025.60 × 105,891.20
  4. Step 4: Simplify right side
    405,387.20x = 64,384,560,414.72
  5. Step 5: Solve for x
    x = 64,384,560,414.72/405,387.20
  6. Step 6: Final answer
    x = 158,822.38

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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.