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Finding the Fourth Proportional to 256,199.94, 384,042.71 and 87,604.97

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Solution

The fourth proportional to 256,199.94, 384,042.71 and 87,604.97 is: 131,319.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,199.94 : 384,042.71 = 87,604.97 : x
  2. Step 2: Convert to fraction form
    256,199.94/384,042.71 = 87,604.97/x
  3. Step 3: Cross multiply
    256,199.94x = 384,042.71 × 87,604.97
  4. Step 4: Simplify right side
    256,199.94x = 33,644,048,387.07
  5. Step 5: Solve for x
    x = 33,644,048,387.07/256,199.94
  6. Step 6: Final answer
    x = 131,319.50

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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.