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Finding the Fourth Proportional to 511,608.06, 767,411.55 and 137,631.06

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Solution

The fourth proportional to 511,608.06, 767,411.55 and 137,631.06 is: 206,446.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,608.06 : 767,411.55 = 137,631.06 : x
  2. Step 2: Convert to fraction form
    511,608.06/767,411.55 = 137,631.06/x
  3. Step 3: Cross multiply
    511,608.06x = 767,411.55 × 137,631.06
  4. Step 4: Simplify right side
    511,608.06x = 105,619,665,082.74
  5. Step 5: Solve for x
    x = 105,619,665,082.74/511,608.06
  6. Step 6: Final answer
    x = 206,446.44

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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.