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Finding the Fourth Proportional to 256,609.80, 384,914.70 and 69,621.30

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Solution

The fourth proportional to 256,609.80, 384,914.70 and 69,621.30 is: 104,431.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,609.80 : 384,914.70 = 69,621.30 : x
  2. Step 2: Convert to fraction form
    256,609.80/384,914.70 = 69,621.30/x
  3. Step 3: Cross multiply
    256,609.80x = 384,914.70 × 69,621.30
  4. Step 4: Simplify right side
    256,609.80x = 26,798,261,803.11
  5. Step 5: Solve for x
    x = 26,798,261,803.11/256,609.80
  6. Step 6: Final answer
    x = 104,431.95

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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.