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Finding the Fourth Proportional to 256,323.45, 384,521.94 and 78,845.43

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Solution

The fourth proportional to 256,323.45, 384,521.94 and 78,845.43 is: 118,279.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,323.45 : 384,521.94 = 78,845.43 : x
  2. Step 2: Convert to fraction form
    256,323.45/384,521.94 = 78,845.43/x
  3. Step 3: Cross multiply
    256,323.45x = 384,521.94 × 78,845.43
  4. Step 4: Simplify right side
    256,323.45x = 30,317,797,703.73
  5. Step 5: Solve for x
    x = 30,317,797,703.73/256,323.45
  6. Step 6: Final answer
    x = 118,279.45

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1.5x scale

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.