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Finding the Fourth Proportional to 511,204.32, 767,147.76 and 178,780.32

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Solution

The fourth proportional to 511,204.32, 767,147.76 and 178,780.32 is: 268,289.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,204.32 : 767,147.76 = 178,780.32 : x
  2. Step 2: Convert to fraction form
    511,204.32/767,147.76 = 178,780.32/x
  3. Step 3: Cross multiply
    511,204.32x = 767,147.76 × 178,780.32
  4. Step 4: Simplify right side
    511,204.32x = 137,150,922,020.08
  5. Step 5: Solve for x
    x = 137,150,922,020.08/511,204.32
  6. Step 6: Final answer
    x = 268,289.83

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1.5x scale

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.