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Finding the Fourth Proportional to 256,606.56, 384,864.48 and 69,632.64

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Solution

The fourth proportional to 256,606.56, 384,864.48 and 69,632.64 is: 104,436.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,606.56 : 384,864.48 = 69,632.64 : x
  2. Step 2: Convert to fraction form
    256,606.56/384,864.48 = 69,632.64/x
  3. Step 3: Cross multiply
    256,606.56x = 384,864.48 × 69,632.64
  4. Step 4: Simplify right side
    256,606.56x = 26,799,129,784.63
  5. Step 5: Solve for x
    x = 26,799,129,784.63/256,606.56
  6. Step 6: Final answer
    x = 104,436.65

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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.