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Finding the Fourth Proportional to 511,809.05, 767,685.90 and 156,824.12

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Solution

The fourth proportional to 511,809.05, 767,685.90 and 156,824.12 is: 235,227.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,809.05 : 767,685.90 = 156,824.12 : x
  2. Step 2: Convert to fraction form
    511,809.05/767,685.90 = 156,824.12/x
  3. Step 3: Cross multiply
    511,809.05x = 767,685.90 × 156,824.12
  4. Step 4: Simplify right side
    511,809.05x = 120,391,661,865.48
  5. Step 5: Solve for x
    x = 120,391,661,865.48/511,809.05
  6. Step 6: Final answer
    x = 235,227.69

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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.