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Finding the Fourth Proportional to 279,745.60, 419,742.42 and 146,594.20

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Solution

The fourth proportional to 279,745.60, 419,742.42 and 146,594.20 is: 219,956.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,745.60 : 419,742.42 = 146,594.20 : x
  2. Step 2: Convert to fraction form
    279,745.60/419,742.42 = 146,594.20/x
  3. Step 3: Cross multiply
    279,745.60x = 419,742.42 × 146,594.20
  4. Step 4: Simplify right side
    279,745.60x = 61,531,804,265.96
  5. Step 5: Solve for x
    x = 61,531,804,265.96/279,745.60
  6. Step 6: Final answer
    x = 219,956.29

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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.