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Finding the Fourth Proportional to 767,808.80, 1,151,194.80 and 408,039.20

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Solution

The fourth proportional to 767,808.80, 1,151,194.80 and 408,039.20 is: 611,783.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,808.80 : 1,151,194.80 = 408,039.20 : x
  2. Step 2: Convert to fraction form
    767,808.80/1,151,194.80 = 408,039.20/x
  3. Step 3: Cross multiply
    767,808.80x = 1,151,194.80 × 408,039.20
  4. Step 4: Simplify right side
    767,808.80x = 469,732,605,236.16
  5. Step 5: Solve for x
    x = 469,732,605,236.16/767,808.80
  6. Step 6: Final answer
    x = 611,783.30

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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.