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Finding the Fourth Proportional to 279,406.94, 418,857.66 and 101,872.40

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Solution

The fourth proportional to 279,406.94, 418,857.66 and 101,872.40 is: 152,716.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,406.94 : 418,857.66 = 101,872.40 : x
  2. Step 2: Convert to fraction form
    279,406.94/418,857.66 = 101,872.40/x
  3. Step 3: Cross multiply
    279,406.94x = 418,857.66 × 101,872.40
  4. Step 4: Simplify right side
    279,406.94x = 42,670,032,988.30
  5. Step 5: Solve for x
    x = 42,670,032,988.30/279,406.94
  6. Step 6: Final answer
    x = 152,716.44

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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.