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Finding the Fourth Proportional to 821,449.60, 1,132,993.92 and 519,352

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Solution

The fourth proportional to 821,449.60, 1,132,993.92 and 519,352 is: 716,322.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,449.60 : 1,132,993.92 = 519,352 : x
  2. Step 2: Convert to fraction form
    821,449.60/1,132,993.92 = 519,352/x
  3. Step 3: Cross multiply
    821,449.60x = 1,132,993.92 × 519,352
  4. Step 4: Simplify right side
    821,449.60x = 588,422,658,339.84
  5. Step 5: Solve for x
    x = 588,422,658,339.84/821,449.60
  6. Step 6: Final answer
    x = 716,322.29

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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.