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Finding the Fourth Proportional to 526,297.78, 726,290.43 and 284,579.78

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Solution

The fourth proportional to 526,297.78, 726,290.43 and 284,579.78 is: 392,719.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,297.78 : 726,290.43 = 284,579.78 : x
  2. Step 2: Convert to fraction form
    526,297.78/726,290.43 = 284,579.78/x
  3. Step 3: Cross multiply
    526,297.78x = 726,290.43 × 284,579.78
  4. Step 4: Simplify right side
    526,297.78x = 206,687,566,086.88
  5. Step 5: Solve for x
    x = 206,687,566,086.88/526,297.78
  6. Step 6: Final answer
    x = 392,719.81

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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.