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Finding the Fourth Proportional to 510,067.78, 765,102.94 and 243,767.72

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Solution

The fourth proportional to 510,067.78, 765,102.94 and 243,767.72 is: 365,652.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,067.78 : 765,102.94 = 243,767.72 : x
  2. Step 2: Convert to fraction form
    510,067.78/765,102.94 = 243,767.72/x
  3. Step 3: Cross multiply
    510,067.78x = 765,102.94 × 243,767.72
  4. Step 4: Simplify right side
    510,067.78x = 186,507,399,249.10
  5. Step 5: Solve for x
    x = 186,507,399,249.10/510,067.78
  6. Step 6: Final answer
    x = 365,652.19

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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.