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Finding the Fourth Proportional to 279,707.10, 419,232.60 and 146,518.80

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Solution

The fourth proportional to 279,707.10, 419,232.60 and 146,518.80 is: 219,606.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,707.10 : 419,232.60 = 146,518.80 : x
  2. Step 2: Convert to fraction form
    279,707.10/419,232.60 = 146,518.80/x
  3. Step 3: Cross multiply
    279,707.10x = 419,232.60 × 146,518.80
  4. Step 4: Simplify right side
    279,707.10x = 61,425,457,472.88
  5. Step 5: Solve for x
    x = 61,425,457,472.88/279,707.10
  6. Step 6: Final answer
    x = 219,606.36

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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.