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Finding the Fourth Proportional to 276,933.84, 415,404.09 and 77,242.08

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Solution

The fourth proportional to 276,933.84, 415,404.09 and 77,242.08 is: 115,864.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,933.84 : 415,404.09 = 77,242.08 : x
  2. Step 2: Convert to fraction form
    276,933.84/415,404.09 = 77,242.08/x
  3. Step 3: Cross multiply
    276,933.84x = 415,404.09 × 77,242.08
  4. Step 4: Simplify right side
    276,933.84x = 32,086,675,952.11
  5. Step 5: Solve for x
    x = 32,086,675,952.11/276,933.84
  6. Step 6: Final answer
    x = 115,864.05

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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.