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Finding the Fourth Proportional to 511,463.57, 767,226.08 and 156,480.66

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Solution

The fourth proportional to 511,463.57, 767,226.08 and 156,480.66 is: 234,730.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,463.57 : 767,226.08 = 156,480.66 : x
  2. Step 2: Convert to fraction form
    511,463.57/767,226.08 = 156,480.66/x
  3. Step 3: Cross multiply
    511,463.57x = 767,226.08 × 156,480.66
  4. Step 4: Simplify right side
    511,463.57x = 120,056,042,585.21
  5. Step 5: Solve for x
    x = 120,056,042,585.21/511,463.57
  6. Step 6: Final answer
    x = 234,730.39

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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.