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Finding the Fourth Proportional to 511,009.34, 705,036.78 and 296,107.88

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Solution

The fourth proportional to 511,009.34, 705,036.78 and 296,107.88 is: 408,538.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,009.34 : 705,036.78 = 296,107.88 : x
  2. Step 2: Convert to fraction form
    511,009.34/705,036.78 = 296,107.88/x
  3. Step 3: Cross multiply
    511,009.34x = 705,036.78 × 296,107.88
  4. Step 4: Simplify right side
    511,009.34x = 208,766,942,722.64
  5. Step 5: Solve for x
    x = 208,766,942,722.64/511,009.34
  6. Step 6: Final answer
    x = 408,538.41

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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.