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Finding the Fourth Proportional to 511,825.33, 767,710.31 and 156,840.38

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Solution

The fourth proportional to 511,825.33, 767,710.31 and 156,840.38 is: 235,252.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,825.33 : 767,710.31 = 156,840.38 : x
  2. Step 2: Convert to fraction form
    511,825.33/767,710.31 = 156,840.38/x
  3. Step 3: Cross multiply
    511,825.33x = 767,710.31 × 156,840.38
  4. Step 4: Simplify right side
    511,825.33x = 120,407,976,750.32
  5. Step 5: Solve for x
    x = 120,407,976,750.32/511,825.33
  6. Step 6: Final answer
    x = 235,252.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.