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Finding the Fourth Proportional to 511,585.82, 767,145.45 and 245,471.66

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Solution

The fourth proportional to 511,585.82, 767,145.45 and 245,471.66 is: 368,095.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,585.82 : 767,145.45 = 245,471.66 : x
  2. Step 2: Convert to fraction form
    511,585.82/767,145.45 = 245,471.66/x
  3. Step 3: Cross multiply
    511,585.82x = 767,145.45 × 245,471.66
  4. Step 4: Simplify right side
    511,585.82x = 188,312,467,072.95
  5. Step 5: Solve for x
    x = 188,312,467,072.95/511,585.82
  6. Step 6: Final answer
    x = 368,095.56

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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.