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Finding the Fourth Proportional to 405,902.10, 608,891.55 and 110,414.10

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Solution

The fourth proportional to 405,902.10, 608,891.55 and 110,414.10 is: 165,631.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,902.10 : 608,891.55 = 110,414.10 : x
  2. Step 2: Convert to fraction form
    405,902.10/608,891.55 = 110,414.10/x
  3. Step 3: Cross multiply
    405,902.10x = 608,891.55 × 110,414.10
  4. Step 4: Simplify right side
    405,902.10x = 67,230,212,490.86
  5. Step 5: Solve for x
    x = 67,230,212,490.86/405,902.10
  6. Step 6: Final answer
    x = 165,631.60

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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.