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Finding the Fourth Proportional to 511,910.92, 767,978.43 and 156,952.63

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Solution

The fourth proportional to 511,910.92, 767,978.43 and 156,952.63 is: 235,463.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,910.92 : 767,978.43 = 156,952.63 : x
  2. Step 2: Convert to fraction form
    511,910.92/767,978.43 = 156,952.63/x
  3. Step 3: Cross multiply
    511,910.92x = 767,978.43 × 156,952.63
  4. Step 4: Simplify right side
    511,910.92x = 120,536,234,371.77
  5. Step 5: Solve for x
    x = 120,536,234,371.77/511,910.92
  6. Step 6: Final answer
    x = 235,463.30

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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.