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Finding the Fourth Proportional to 780,683, 1,077,343.26 and 422,987

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Solution

The fourth proportional to 780,683, 1,077,343.26 and 422,987 is: 583,722.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,683 : 1,077,343.26 = 422,987 : x
  2. Step 2: Convert to fraction form
    780,683/1,077,343.26 = 422,987/x
  3. Step 3: Cross multiply
    780,683x = 1,077,343.26 × 422,987
  4. Step 4: Simplify right side
    780,683x = 455,702,193,517.62
  5. Step 5: Solve for x
    x = 455,702,193,517.62/780,683
  6. Step 6: Final answer
    x = 583,722.45

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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.