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Finding the Fourth Proportional to 511,102.60, 766,653.90 and 311,812.23

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Solution

The fourth proportional to 511,102.60, 766,653.90 and 311,812.23 is: 467,718.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,102.60 : 766,653.90 = 311,812.23 : x
  2. Step 2: Convert to fraction form
    511,102.60/766,653.90 = 311,812.23/x
  3. Step 3: Cross multiply
    511,102.60x = 766,653.90 × 311,812.23
  4. Step 4: Simplify right side
    511,102.60x = 239,052,062,197.20
  5. Step 5: Solve for x
    x = 239,052,062,197.20/511,102.60
  6. Step 6: Final answer
    x = 467,718.35

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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.