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Finding the Fourth Proportional to 279,607.95, 419,380.54 and 77,232.83

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Solution

The fourth proportional to 279,607.95, 419,380.54 and 77,232.83 is: 115,840.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,607.95 : 419,380.54 = 77,232.83 : x
  2. Step 2: Convert to fraction form
    279,607.95/419,380.54 = 77,232.83/x
  3. Step 3: Cross multiply
    279,607.95x = 419,380.54 × 77,232.83
  4. Step 4: Simplify right side
    279,607.95x = 32,389,943,661.14
  5. Step 5: Solve for x
    x = 32,389,943,661.14/279,607.95
  6. Step 6: Final answer
    x = 115,840.57

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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.