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Finding the Fourth Proportional to 768,079.87, 1,152,268.44 and 294,728.43

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Solution

The fourth proportional to 768,079.87, 1,152,268.44 and 294,728.43 is: 442,149.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,079.87 : 1,152,268.44 = 294,728.43 : x
  2. Step 2: Convert to fraction form
    768,079.87/1,152,268.44 = 294,728.43/x
  3. Step 3: Cross multiply
    768,079.87x = 1,152,268.44 × 294,728.43
  4. Step 4: Simplify right side
    768,079.87x = 339,606,268,259.75
  5. Step 5: Solve for x
    x = 339,606,268,259.75/768,079.87
  6. Step 6: Final answer
    x = 442,149.68

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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.