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Finding the Fourth Proportional to 309,544, 427,170.72 and 182,298.40

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Solution

The fourth proportional to 309,544, 427,170.72 and 182,298.40 is: 251,571.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,544 : 427,170.72 = 182,298.40 : x
  2. Step 2: Convert to fraction form
    309,544/427,170.72 = 182,298.40/x
  3. Step 3: Cross multiply
    309,544x = 427,170.72 × 182,298.40
  4. Step 4: Simplify right side
    309,544x = 77,872,538,782.85
  5. Step 5: Solve for x
    x = 77,872,538,782.85/309,544
  6. Step 6: Final answer
    x = 251,571.79

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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.