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Finding the Fourth Proportional to 511,101.60, 766,652.40 and 311,811.23

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Solution

The fourth proportional to 511,101.60, 766,652.40 and 311,811.23 is: 467,716.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,101.60 : 766,652.40 = 311,811.23 : x
  2. Step 2: Convert to fraction form
    511,101.60/766,652.40 = 311,811.23/x
  3. Step 3: Cross multiply
    511,101.60x = 766,652.40 × 311,811.23
  4. Step 4: Simplify right side
    511,101.60x = 239,050,823,993.19
  5. Step 5: Solve for x
    x = 239,050,823,993.19/511,101.60
  6. Step 6: Final answer
    x = 467,716.84

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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.