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Finding the Fourth Proportional to 971,662.48, 1,340,200.14 and 842,369.88

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Solution

The fourth proportional to 971,662.48, 1,340,200.14 and 842,369.88 is: 1,161,868.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,662.48 : 1,340,200.14 = 842,369.88 : x
  2. Step 2: Convert to fraction form
    971,662.48/1,340,200.14 = 842,369.88/x
  3. Step 3: Cross multiply
    971,662.48x = 1,340,200.14 × 842,369.88
  4. Step 4: Simplify right side
    971,662.48x = 1,128,944,231,107.78
  5. Step 5: Solve for x
    x = 1,128,944,231,107.78/971,662.48
  6. Step 6: Final answer
    x = 1,161,868.71

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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.