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Finding the Fourth Proportional to 256,006.80, 384,010.20 and 78,512.40

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Solution

The fourth proportional to 256,006.80, 384,010.20 and 78,512.40 is: 117,768.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,006.80 : 384,010.20 = 78,512.40 : x
  2. Step 2: Convert to fraction form
    256,006.80/384,010.20 = 78,512.40/x
  3. Step 3: Cross multiply
    256,006.80x = 384,010.20 × 78,512.40
  4. Step 4: Simplify right side
    256,006.80x = 30,149,562,426.48
  5. Step 5: Solve for x
    x = 30,149,562,426.48/256,006.80
  6. Step 6: Final answer
    x = 117,768.60

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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.