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Finding the Fourth Proportional to 511,504.64, 705,879.42 and 296,772.56

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Solution

The fourth proportional to 511,504.64, 705,879.42 and 296,772.56 is: 409,547.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,504.64 : 705,879.42 = 296,772.56 : x
  2. Step 2: Convert to fraction form
    511,504.64/705,879.42 = 296,772.56/x
  3. Step 3: Cross multiply
    511,504.64x = 705,879.42 × 296,772.56
  4. Step 4: Simplify right side
    511,504.64x = 209,485,642,524.72
  5. Step 5: Solve for x
    x = 209,485,642,524.72/511,504.64
  6. Step 6: Final answer
    x = 409,547.88

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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.