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Finding the Fourth Proportional to 279,320.99, 419,189.34 and 137,242.53

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Solution

The fourth proportional to 279,320.99, 419,189.34 and 137,242.53 is: 205,965.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,320.99 : 419,189.34 = 137,242.53 : x
  2. Step 2: Convert to fraction form
    279,320.99/419,189.34 = 137,242.53/x
  3. Step 3: Cross multiply
    279,320.99x = 419,189.34 × 137,242.53
  4. Step 4: Simplify right side
    279,320.99x = 57,530,605,570.63
  5. Step 5: Solve for x
    x = 57,530,605,570.63/279,320.99
  6. Step 6: Final answer
    x = 205,965.93

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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.