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Finding the Fourth Proportional to 971,589.87, 1,340,099.78 and 842,297.15

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Solution

The fourth proportional to 971,589.87, 1,340,099.78 and 842,297.15 is: 1,161,768.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,589.87 : 1,340,099.78 = 842,297.15 : x
  2. Step 2: Convert to fraction form
    971,589.87/1,340,099.78 = 842,297.15/x
  3. Step 3: Cross multiply
    971,589.87x = 1,340,099.78 × 842,297.15
  4. Step 4: Simplify right side
    971,589.87x = 1,128,762,224,548.39
  5. Step 5: Solve for x
    x = 1,128,762,224,548.39/971,589.87
  6. Step 6: Final answer
    x = 1,161,768.21

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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.