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Finding the Fourth Proportional to 511,195.32, 767,134.26 and 178,771.32

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Solution

The fourth proportional to 511,195.32, 767,134.26 and 178,771.32 is: 268,276.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,195.32 : 767,134.26 = 178,771.32 : x
  2. Step 2: Convert to fraction form
    511,195.32/767,134.26 = 178,771.32/x
  3. Step 3: Cross multiply
    511,195.32x = 767,134.26 × 178,771.32
  4. Step 4: Simplify right side
    511,195.32x = 137,141,604,277.42
  5. Step 5: Solve for x
    x = 137,141,604,277.42/511,195.32
  6. Step 6: Final answer
    x = 268,276.33

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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.