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Finding the Fourth Proportional to 511,446.65, 767,142.23 and 156,460.71

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Solution

The fourth proportional to 511,446.65, 767,142.23 and 156,460.71 is: 234,682.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,446.65 : 767,142.23 = 156,460.71 : x
  2. Step 2: Convert to fraction form
    511,446.65/767,142.23 = 156,460.71/x
  3. Step 3: Cross multiply
    511,446.65x = 767,142.23 × 156,460.71
  4. Step 4: Simplify right side
    511,446.65x = 120,027,617,976.78
  5. Step 5: Solve for x
    x = 120,027,617,976.78/511,446.65
  6. Step 6: Final answer
    x = 234,682.58

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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.