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Finding the Fourth Proportional to 769,205.60, 1,153,808.40 and 685,647.20

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Solution

The fourth proportional to 769,205.60, 1,153,808.40 and 685,647.20 is: 1,028,470.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,205.60 : 1,153,808.40 = 685,647.20 : x
  2. Step 2: Convert to fraction form
    769,205.60/1,153,808.40 = 685,647.20/x
  3. Step 3: Cross multiply
    769,205.60x = 1,153,808.40 × 685,647.20
  4. Step 4: Simplify right side
    769,205.60x = 791,105,498,796.48
  5. Step 5: Solve for x
    x = 791,105,498,796.48/769,205.60
  6. Step 6: Final answer
    x = 1,028,470.80

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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.