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Finding the Fourth Proportional to 511,180.76, 766,771.32 and 137,203.76

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Solution

The fourth proportional to 511,180.76, 766,771.32 and 137,203.76 is: 205,805.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,180.76 : 766,771.32 = 137,203.76 : x
  2. Step 2: Convert to fraction form
    511,180.76/766,771.32 = 137,203.76/x
  3. Step 3: Cross multiply
    511,180.76x = 766,771.32 × 137,203.76
  4. Step 4: Simplify right side
    511,180.76x = 105,203,908,164.16
  5. Step 5: Solve for x
    x = 105,203,908,164.16/511,180.76
  6. Step 6: Final answer
    x = 205,805.69

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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.