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Finding the Fourth Proportional to 767,820.80, 1,151,212.80 and 408,051.20

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Solution

The fourth proportional to 767,820.80, 1,151,212.80 and 408,051.20 is: 611,801.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,820.80 : 1,151,212.80 = 408,051.20 : x
  2. Step 2: Convert to fraction form
    767,820.80/1,151,212.80 = 408,051.20/x
  3. Step 3: Cross multiply
    767,820.80x = 1,151,212.80 × 408,051.20
  4. Step 4: Simplify right side
    767,820.80x = 469,753,764,495.36
  5. Step 5: Solve for x
    x = 469,753,764,495.36/767,820.80
  6. Step 6: Final answer
    x = 611,801.30

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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.