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Finding the Fourth Proportional to 507,449.14, 700,279.75 and 278,014.56

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Solution

The fourth proportional to 507,449.14, 700,279.75 and 278,014.56 is: 383,660.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,449.14 : 700,279.75 = 278,014.56 : x
  2. Step 2: Convert to fraction form
    507,449.14/700,279.75 = 278,014.56/x
  3. Step 3: Cross multiply
    507,449.14x = 700,279.75 × 278,014.56
  4. Step 4: Simplify right side
    507,449.14x = 194,687,965,111.09
  5. Step 5: Solve for x
    x = 194,687,965,111.09/507,449.14
  6. Step 6: Final answer
    x = 383,660.06

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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.