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Finding the Fourth Proportional to 511,441.89, 767,135.02 and 156,455.91

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Solution

The fourth proportional to 511,441.89, 767,135.02 and 156,455.91 is: 234,675.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,441.89 : 767,135.02 = 156,455.91 : x
  2. Step 2: Convert to fraction form
    511,441.89/767,135.02 = 156,455.91/x
  3. Step 3: Cross multiply
    511,441.89x = 767,135.02 × 156,455.91
  4. Step 4: Simplify right side
    511,441.89x = 120,022,808,418.61
  5. Step 5: Solve for x
    x = 120,022,808,418.61/511,441.89
  6. Step 6: Final answer
    x = 234,675.36

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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.