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Finding the Fourth Proportional to 507,104, 699,803.52 and 280,764.08

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Solution

The fourth proportional to 507,104, 699,803.52 and 280,764.08 is: 387,454.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,104 : 699,803.52 = 280,764.08 : x
  2. Step 2: Convert to fraction form
    507,104/699,803.52 = 280,764.08/x
  3. Step 3: Cross multiply
    507,104x = 699,803.52 × 280,764.08
  4. Step 4: Simplify right side
    507,104x = 196,479,691,473.56
  5. Step 5: Solve for x
    x = 196,479,691,473.56/507,104
  6. Step 6: Final answer
    x = 387,454.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.