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Finding the Fourth Proportional to 511,009.21, 705,036.61 and 296,107.75

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Solution

The fourth proportional to 511,009.21, 705,036.61 and 296,107.75 is: 408,538.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,009.21 : 705,036.61 = 296,107.75 : x
  2. Step 2: Convert to fraction form
    511,009.21/705,036.61 = 296,107.75/x
  3. Step 3: Cross multiply
    511,009.21x = 705,036.61 × 296,107.75
  4. Step 4: Simplify right side
    511,009.21x = 208,766,804,254.73
  5. Step 5: Solve for x
    x = 208,766,804,254.73/511,009.21
  6. Step 6: Final answer
    x = 408,538.24

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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.