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Finding the Fourth Proportional to 821,200, 1,125,025.24 and 790,497.71

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Solution

The fourth proportional to 821,200, 1,125,025.24 and 790,497.71 is: 1,082,963.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,200 : 1,125,025.24 = 790,497.71 : x
  2. Step 2: Convert to fraction form
    821,200/1,125,025.24 = 790,497.71/x
  3. Step 3: Cross multiply
    821,200x = 1,125,025.24 × 790,497.71
  4. Step 4: Simplify right side
    821,200x = 889,329,875,912.20
  5. Step 5: Solve for x
    x = 889,329,875,912.20/821,200
  6. Step 6: Final answer
    x = 1,082,963.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.