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Finding the Fourth Proportional to 511,947.60, 767,921.40 and 287,998.80

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Solution

The fourth proportional to 511,947.60, 767,921.40 and 287,998.80 is: 431,998.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,947.60 : 767,921.40 = 287,998.80 : x
  2. Step 2: Convert to fraction form
    511,947.60/767,921.40 = 287,998.80/x
  3. Step 3: Cross multiply
    511,947.60x = 767,921.40 × 287,998.80
  4. Step 4: Simplify right side
    511,947.60x = 221,160,441,694.32
  5. Step 5: Solve for x
    x = 221,160,441,694.32/511,947.60
  6. Step 6: Final answer
    x = 431,998.20

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Double scale
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Similar ratio
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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.