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Finding the Fourth Proportional to 375,778.08, 518,560 and 206,008.48

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Solution

The fourth proportional to 375,778.08, 518,560 and 206,008.48 is: 284,284.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,778.08 : 518,560 = 206,008.48 : x
  2. Step 2: Convert to fraction form
    375,778.08/518,560 = 206,008.48/x
  3. Step 3: Cross multiply
    375,778.08x = 518,560 × 206,008.48
  4. Step 4: Simplify right side
    375,778.08x = 106,827,757,388.80
  5. Step 5: Solve for x
    x = 106,827,757,388.80/375,778.08
  6. Step 6: Final answer
    x = 284,284.16

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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.