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Finding the Fourth Proportional to 276,928.84, 415,396.59 and 77,237.07

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Solution

The fourth proportional to 276,928.84, 415,396.59 and 77,237.07 is: 115,856.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,928.84 : 415,396.59 = 77,237.07 : x
  2. Step 2: Convert to fraction form
    276,928.84/415,396.59 = 77,237.07/x
  3. Step 3: Cross multiply
    276,928.84x = 415,396.59 × 77,237.07
  4. Step 4: Simplify right side
    276,928.84x = 32,084,013,422.61
  5. Step 5: Solve for x
    x = 32,084,013,422.61/276,928.84
  6. Step 6: Final answer
    x = 115,856.53

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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.