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Finding the Fourth Proportional to 279,458.76, 419,249.99 and 101,965.25

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Solution

The fourth proportional to 279,458.76, 419,249.99 and 101,965.25 is: 152,970.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,458.76 : 419,249.99 = 101,965.25 : x
  2. Step 2: Convert to fraction form
    279,458.76/419,249.99 = 101,965.25/x
  3. Step 3: Cross multiply
    279,458.76x = 419,249.99 × 101,965.25
  4. Step 4: Simplify right side
    279,458.76x = 42,748,929,533.02
  5. Step 5: Solve for x
    x = 42,748,929,533.02/279,458.76
  6. Step 6: Final answer
    x = 152,970.44

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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.