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Finding the Fourth Proportional to 256,835.80, 385,253.70 and 69,847.30

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Solution

The fourth proportional to 256,835.80, 385,253.70 and 69,847.30 is: 104,770.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,835.80 : 385,253.70 = 69,847.30 : x
  2. Step 2: Convert to fraction form
    256,835.80/385,253.70 = 69,847.30/x
  3. Step 3: Cross multiply
    256,835.80x = 385,253.70 × 69,847.30
  4. Step 4: Simplify right side
    256,835.80x = 26,908,930,760.01
  5. Step 5: Solve for x
    x = 26,908,930,760.01/256,835.80
  6. Step 6: Final answer
    x = 104,770.95

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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.