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Finding the Fourth Proportional to 511,940.42, 706,472.10 and 282,499.52

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Solution

The fourth proportional to 511,940.42, 706,472.10 and 282,499.52 is: 389,846.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,940.42 : 706,472.10 = 282,499.52 : x
  2. Step 2: Convert to fraction form
    511,940.42/706,472.10 = 282,499.52/x
  3. Step 3: Cross multiply
    511,940.42x = 706,472.10 × 282,499.52
  4. Step 4: Simplify right side
    511,940.42x = 199,578,029,143.39
  5. Step 5: Solve for x
    x = 199,578,029,143.39/511,940.42
  6. Step 6: Final answer
    x = 389,846.20

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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.