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Finding the Fourth Proportional to 463,381.44, 639,276.32 and 281,947.92

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Solution

The fourth proportional to 463,381.44, 639,276.32 and 281,947.92 is: 388,972.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,381.44 : 639,276.32 = 281,947.92 : x
  2. Step 2: Convert to fraction form
    463,381.44/639,276.32 = 281,947.92/x
  3. Step 3: Cross multiply
    463,381.44x = 639,276.32 × 281,947.92
  4. Step 4: Simplify right side
    463,381.44x = 180,242,628,729.25
  5. Step 5: Solve for x
    x = 180,242,628,729.25/463,381.44
  6. Step 6: Final answer
    x = 388,972.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.