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Finding the Fourth Proportional to 511,992, 767,959.23 and 157,005.03

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Solution

The fourth proportional to 511,992, 767,959.23 and 157,005.03 is: 235,498.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,992 : 767,959.23 = 157,005.03 : x
  2. Step 2: Convert to fraction form
    511,992/767,959.23 = 157,005.03/x
  3. Step 3: Cross multiply
    511,992x = 767,959.23 × 157,005.03
  4. Step 4: Simplify right side
    511,992x = 120,573,461,944.93
  5. Step 5: Solve for x
    x = 120,573,461,944.93/511,992
  6. Step 6: Final answer
    x = 235,498.72

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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.