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Finding the Fourth Proportional to 511,031.79, 766,659.88 and 151,174.47

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Solution

The fourth proportional to 511,031.79, 766,659.88 and 151,174.47 is: 226,794.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,031.79 : 766,659.88 = 151,174.47 : x
  2. Step 2: Convert to fraction form
    511,031.79/766,659.88 = 151,174.47/x
  3. Step 3: Cross multiply
    511,031.79x = 766,659.88 × 151,174.47
  4. Step 4: Simplify right side
    511,031.79x = 115,899,401,029.26
  5. Step 5: Solve for x
    x = 115,899,401,029.26/511,031.79
  6. Step 6: Final answer
    x = 226,794.89

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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.