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Finding the Fourth Proportional to 511,574.82, 767,231.29 and 151,661.51

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Solution

The fourth proportional to 511,574.82, 767,231.29 and 151,661.51 is: 227,453.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,574.82 : 767,231.29 = 151,661.51 : x
  2. Step 2: Convert to fraction form
    511,574.82/767,231.29 = 151,661.51/x
  3. Step 3: Cross multiply
    511,574.82x = 767,231.29 × 151,661.51
  4. Step 4: Simplify right side
    511,574.82x = 116,359,455,960.65
  5. Step 5: Solve for x
    x = 116,359,455,960.65/511,574.82
  6. Step 6: Final answer
    x = 227,453.45

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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.