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Finding the Fourth Proportional to 479,375.08, 719,131.74 and 146,977

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Solution

The fourth proportional to 479,375.08, 719,131.74 and 146,977 is: 220,486.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,375.08 : 719,131.74 = 146,977 : x
  2. Step 2: Convert to fraction form
    479,375.08/719,131.74 = 146,977/x
  3. Step 3: Cross multiply
    479,375.08x = 719,131.74 × 146,977
  4. Step 4: Simplify right side
    479,375.08x = 105,695,825,749.98
  5. Step 5: Solve for x
    x = 105,695,825,749.98/479,375.08
  6. Step 6: Final answer
    x = 220,486.69

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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.