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Finding the Fourth Proportional to 256,504.80, 384,757.20 and 69,516.30

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Solution

The fourth proportional to 256,504.80, 384,757.20 and 69,516.30 is: 104,274.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,504.80 : 384,757.20 = 69,516.30 : x
  2. Step 2: Convert to fraction form
    256,504.80/384,757.20 = 69,516.30/x
  3. Step 3: Cross multiply
    256,504.80x = 384,757.20 × 69,516.30
  4. Step 4: Simplify right side
    256,504.80x = 26,746,896,942.36
  5. Step 5: Solve for x
    x = 26,746,896,942.36/256,504.80
  6. Step 6: Final answer
    x = 104,274.45

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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.