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Finding the Fourth Proportional to 256,496.70, 384,787.17 and 79,003.74

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Solution

The fourth proportional to 256,496.70, 384,787.17 and 79,003.74 is: 118,518.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,496.70 : 384,787.17 = 79,003.74 : x
  2. Step 2: Convert to fraction form
    256,496.70/384,787.17 = 79,003.74/x
  3. Step 3: Cross multiply
    256,496.70x = 384,787.17 × 79,003.74
  4. Step 4: Simplify right side
    256,496.70x = 30,399,625,534.02
  5. Step 5: Solve for x
    x = 30,399,625,534.02/256,496.70
  6. Step 6: Final answer
    x = 118,518.58

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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.