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Finding the Fourth Proportional to 511,276.80, 766,040.40 and 324,069.60

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Solution

The fourth proportional to 511,276.80, 766,040.40 and 324,069.60 is: 485,549.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,276.80 : 766,040.40 = 324,069.60 : x
  2. Step 2: Convert to fraction form
    511,276.80/766,040.40 = 324,069.60/x
  3. Step 3: Cross multiply
    511,276.80x = 766,040.40 × 324,069.60
  4. Step 4: Simplify right side
    511,276.80x = 248,250,406,011.84
  5. Step 5: Solve for x
    x = 248,250,406,011.84/511,276.80
  6. Step 6: Final answer
    x = 485,549.91

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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.