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Finding the Fourth Proportional to 511,429.69, 767,116.92 and 156,443.75

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Solution

The fourth proportional to 511,429.69, 767,116.92 and 156,443.75 is: 234,657.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,429.69 : 767,116.92 = 156,443.75 : x
  2. Step 2: Convert to fraction form
    511,429.69/767,116.92 = 156,443.75/x
  3. Step 3: Cross multiply
    511,429.69x = 767,116.92 × 156,443.75
  4. Step 4: Simplify right side
    511,429.69x = 120,010,647,653.25
  5. Step 5: Solve for x
    x = 120,010,647,653.25/511,429.69
  6. Step 6: Final answer
    x = 234,657.18

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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.