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Finding the Fourth Proportional to 463,410.45, 638,961.57 and 371,456.21

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Solution

The fourth proportional to 463,410.45, 638,961.57 and 371,456.21 is: 512,172.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,410.45 : 638,961.57 = 371,456.21 : x
  2. Step 2: Convert to fraction form
    463,410.45/638,961.57 = 371,456.21/x
  3. Step 3: Cross multiply
    463,410.45x = 638,961.57 × 371,456.21
  4. Step 4: Simplify right side
    463,410.45x = 237,346,244,725.25
  5. Step 5: Solve for x
    x = 237,346,244,725.25/463,410.45
  6. Step 6: Final answer
    x = 512,172.84

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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.