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Finding the Fourth Proportional to 511,935.02, 706,610.86 and 297,144.28

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Solution

The fourth proportional to 511,935.02, 706,610.86 and 297,144.28 is: 410,140.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,935.02 : 706,610.86 = 297,144.28 : x
  2. Step 2: Convert to fraction form
    511,935.02/706,610.86 = 297,144.28/x
  3. Step 3: Cross multiply
    511,935.02x = 706,610.86 × 297,144.28
  4. Step 4: Simplify right side
    511,935.02x = 209,965,375,375.28
  5. Step 5: Solve for x
    x = 209,965,375,375.28/511,935.02
  6. Step 6: Final answer
    x = 410,140.68

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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.