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Finding the Fourth Proportional to 256,004.88, 384,015.54 and 87,518.40

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Solution

The fourth proportional to 256,004.88, 384,015.54 and 87,518.40 is: 131,280.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,004.88 : 384,015.54 = 87,518.40 : x
  2. Step 2: Convert to fraction form
    256,004.88/384,015.54 = 87,518.40/x
  3. Step 3: Cross multiply
    256,004.88x = 384,015.54 × 87,518.40
  4. Step 4: Simplify right side
    256,004.88x = 33,608,425,635.94
  5. Step 5: Solve for x
    x = 33,608,425,635.94/256,004.88
  6. Step 6: Final answer
    x = 131,280.41

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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.