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Finding the Fourth Proportional to 768,368.52, 1,152,687.96 and 262,810.80

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Solution

The fourth proportional to 768,368.52, 1,152,687.96 and 262,810.80 is: 394,262.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,368.52 : 1,152,687.96 = 262,810.80 : x
  2. Step 2: Convert to fraction form
    768,368.52/1,152,687.96 = 262,810.80/x
  3. Step 3: Cross multiply
    768,368.52x = 1,152,687.96 × 262,810.80
  4. Step 4: Simplify right side
    768,368.52x = 302,938,844,917.97
  5. Step 5: Solve for x
    x = 302,938,844,917.97/768,368.52
  6. Step 6: Final answer
    x = 394,262.44

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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.