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Finding the Fourth Proportional to 255,692.28, 383,476.91 and 78,200.83

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Solution

The fourth proportional to 255,692.28, 383,476.91 and 78,200.83 is: 117,282.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,692.28 : 383,476.91 = 78,200.83 : x
  2. Step 2: Convert to fraction form
    255,692.28/383,476.91 = 78,200.83/x
  3. Step 3: Cross multiply
    255,692.28x = 383,476.91 × 78,200.83
  4. Step 4: Simplify right side
    255,692.28x = 29,988,213,134.24
  5. Step 5: Solve for x
    x = 29,988,213,134.24/255,692.28
  6. Step 6: Final answer
    x = 117,282.43

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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.