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Finding the Fourth Proportional to 511,967.24, 767,863.34 and 137,902.76

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Solution

The fourth proportional to 511,967.24, 767,863.34 and 137,902.76 is: 206,830.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,967.24 : 767,863.34 = 137,902.76 : x
  2. Step 2: Convert to fraction form
    511,967.24/767,863.34 = 137,902.76/x
  3. Step 3: Cross multiply
    511,967.24x = 767,863.34 × 137,902.76
  4. Step 4: Simplify right side
    511,967.24x = 105,890,473,888.82
  5. Step 5: Solve for x
    x = 105,890,473,888.82/511,967.24
  6. Step 6: Final answer
    x = 206,830.57

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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.