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Finding the Fourth Proportional to 511,442.80, 767,136.38 and 156,456.82

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Solution

The fourth proportional to 511,442.80, 767,136.38 and 156,456.82 is: 234,676.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,442.80 : 767,136.38 = 156,456.82 : x
  2. Step 2: Convert to fraction form
    511,442.80/767,136.38 = 156,456.82/x
  3. Step 3: Cross multiply
    511,442.80x = 767,136.38 × 156,456.82
  4. Step 4: Simplify right side
    511,442.80x = 120,023,716,994.41
  5. Step 5: Solve for x
    x = 120,023,716,994.41/511,442.80
  6. Step 6: Final answer
    x = 234,676.72

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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.