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Finding the Fourth Proportional to 256,644, 384,959.52 and 69,650.64

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Solution

The fourth proportional to 256,644, 384,959.52 and 69,650.64 is: 104,474.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,644 : 384,959.52 = 69,650.64 : x
  2. Step 2: Convert to fraction form
    256,644/384,959.52 = 69,650.64/x
  3. Step 3: Cross multiply
    256,644x = 384,959.52 × 69,650.64
  4. Step 4: Simplify right side
    256,644x = 26,812,676,942.09
  5. Step 5: Solve for x
    x = 26,812,676,942.09/256,644
  6. Step 6: Final answer
    x = 104,474.20

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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.