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Finding the Fourth Proportional to 256,475.84, 384,721.56 and 87,993.80

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Solution

The fourth proportional to 256,475.84, 384,721.56 and 87,993.80 is: 131,993.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,475.84 : 384,721.56 = 87,993.80 : x
  2. Step 2: Convert to fraction form
    256,475.84/384,721.56 = 87,993.80/x
  3. Step 3: Cross multiply
    256,475.84x = 384,721.56 × 87,993.80
  4. Step 4: Simplify right side
    256,475.84x = 33,853,111,264.51
  5. Step 5: Solve for x
    x = 33,853,111,264.51/256,475.84
  6. Step 6: Final answer
    x = 131,993.38

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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.