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Finding the Fourth Proportional to 256,647.24, 384,964.38 and 69,653.88

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Solution

The fourth proportional to 256,647.24, 384,964.38 and 69,653.88 is: 104,479.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,647.24 : 384,964.38 = 69,653.88 : x
  2. Step 2: Convert to fraction form
    256,647.24/384,964.38 = 69,653.88/x
  3. Step 3: Cross multiply
    256,647.24x = 384,964.38 × 69,653.88
  4. Step 4: Simplify right side
    256,647.24x = 26,814,262,728.79
  5. Step 5: Solve for x
    x = 26,814,262,728.79/256,647.24
  6. Step 6: Final answer
    x = 104,479.06

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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.