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Finding the Fourth Proportional to 511,182.76, 766,774.32 and 137,205.76

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Solution

The fourth proportional to 511,182.76, 766,774.32 and 137,205.76 is: 205,808.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,182.76 : 766,774.32 = 137,205.76 : x
  2. Step 2: Convert to fraction form
    511,182.76/766,774.32 = 137,205.76/x
  3. Step 3: Cross multiply
    511,182.76x = 766,774.32 × 137,205.76
  4. Step 4: Simplify right side
    511,182.76x = 105,205,853,324.08
  5. Step 5: Solve for x
    x = 105,205,853,324.08/511,182.76
  6. Step 6: Final answer
    x = 205,808.69

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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.