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Finding the Fourth Proportional to 256,642, 384,956.52 and 69,648.64

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Solution

The fourth proportional to 256,642, 384,956.52 and 69,648.64 is: 104,471.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,642 : 384,956.52 = 69,648.64 : x
  2. Step 2: Convert to fraction form
    256,642/384,956.52 = 69,648.64/x
  3. Step 3: Cross multiply
    256,642x = 384,956.52 × 69,648.64
  4. Step 4: Simplify right side
    256,642x = 26,811,698,077.13
  5. Step 5: Solve for x
    x = 26,811,698,077.13/256,642
  6. Step 6: Final answer
    x = 104,471.20

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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.