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Finding the Fourth Proportional to 511,744.75, 767,606.63 and 227,358.21

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Solution

The fourth proportional to 511,744.75, 767,606.63 and 227,358.21 is: 341,032.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,744.75 : 767,606.63 = 227,358.21 : x
  2. Step 2: Convert to fraction form
    511,744.75/767,606.63 = 227,358.21/x
  3. Step 3: Cross multiply
    511,744.75x = 767,606.63 × 227,358.21
  4. Step 4: Simplify right side
    511,744.75x = 174,521,666,804.88
  5. Step 5: Solve for x
    x = 174,521,666,804.88/511,744.75
  6. Step 6: Final answer
    x = 341,032.65

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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.