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Finding the Fourth Proportional to 511,298.78, 765,832.77 and 421,544.30

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Solution

The fourth proportional to 511,298.78, 765,832.77 and 421,544.30 is: 631,396.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,298.78 : 765,832.77 = 421,544.30 : x
  2. Step 2: Convert to fraction form
    511,298.78/765,832.77 = 421,544.30/x
  3. Step 3: Cross multiply
    511,298.78x = 765,832.77 × 421,544.30
  4. Step 4: Simplify right side
    511,298.78x = 322,832,435,117.55
  5. Step 5: Solve for x
    x = 322,832,435,117.55/511,298.78
  6. Step 6: Final answer
    x = 631,396.85

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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.