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Finding the Fourth Proportional to 256,476.74, 384,679.14 and 87,994.30

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Solution

The fourth proportional to 256,476.74, 384,679.14 and 87,994.30 is: 131,979.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,476.74 : 384,679.14 = 87,994.30 : x
  2. Step 2: Convert to fraction form
    256,476.74/384,679.14 = 87,994.30/x
  3. Step 3: Cross multiply
    256,476.74x = 384,679.14 × 87,994.30
  4. Step 4: Simplify right side
    256,476.74x = 33,849,571,648.90
  5. Step 5: Solve for x
    x = 33,849,571,648.90/256,476.74
  6. Step 6: Final answer
    x = 131,979.11

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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.