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Finding the Fourth Proportional to 809,796.80, 1,215,693.60 and 510,276.80

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Solution

The fourth proportional to 809,796.80, 1,215,693.60 and 510,276.80 is: 766,044.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,796.80 : 1,215,693.60 = 510,276.80 : x
  2. Step 2: Convert to fraction form
    809,796.80/1,215,693.60 = 510,276.80/x
  3. Step 3: Cross multiply
    809,796.80x = 1,215,693.60 × 510,276.80
  4. Step 4: Simplify right side
    809,796.80x = 620,340,239,988.48
  5. Step 5: Solve for x
    x = 620,340,239,988.48/809,796.80
  6. Step 6: Final answer
    x = 766,044.32

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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.