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Finding the Fourth Proportional to 511,391.37, 767,013.10 and 156,310.05

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Solution

The fourth proportional to 511,391.37, 767,013.10 and 156,310.05 is: 234,442.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,391.37 : 767,013.10 = 156,310.05 : x
  2. Step 2: Convert to fraction form
    511,391.37/767,013.10 = 156,310.05/x
  3. Step 3: Cross multiply
    511,391.37x = 767,013.10 × 156,310.05
  4. Step 4: Simplify right side
    511,391.37x = 119,891,858,497.18
  5. Step 5: Solve for x
    x = 119,891,858,497.18/511,391.37
  6. Step 6: Final answer
    x = 234,442.47

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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.