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Finding the Fourth Proportional to 780,268, 1,076,857.50 and 440,758.12

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Solution

The fourth proportional to 780,268, 1,076,857.50 and 440,758.12 is: 608,295.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,268 : 1,076,857.50 = 440,758.12 : x
  2. Step 2: Convert to fraction form
    780,268/1,076,857.50 = 440,758.12/x
  3. Step 3: Cross multiply
    780,268x = 1,076,857.50 × 440,758.12
  4. Step 4: Simplify right side
    780,268x = 474,633,687,207.90
  5. Step 5: Solve for x
    x = 474,633,687,207.90/780,268
  6. Step 6: Final answer
    x = 608,295.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.