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Finding the Fourth Proportional to 276,486.35, 414,065.21 and 157,797.86

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Solution

The fourth proportional to 276,486.35, 414,065.21 and 157,797.86 is: 236,317.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,486.35 : 414,065.21 = 157,797.86 : x
  2. Step 2: Convert to fraction form
    276,486.35/414,065.21 = 157,797.86/x
  3. Step 3: Cross multiply
    276,486.35x = 414,065.21 × 157,797.86
  4. Step 4: Simplify right side
    276,486.35x = 65,338,601,968.12
  5. Step 5: Solve for x
    x = 65,338,601,968.12/276,486.35
  6. Step 6: Final answer
    x = 236,317.65

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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.