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Finding the Fourth Proportional to 826,671, 1,140,767.12 and 459,171.96

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Solution

The fourth proportional to 826,671, 1,140,767.12 and 459,171.96 is: 633,635.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,671 : 1,140,767.12 = 459,171.96 : x
  2. Step 2: Convert to fraction form
    826,671/1,140,767.12 = 459,171.96/x
  3. Step 3: Cross multiply
    826,671x = 1,140,767.12 × 459,171.96
  4. Step 4: Simplify right side
    826,671x = 523,808,274,393.96
  5. Step 5: Solve for x
    x = 523,808,274,393.96/826,671
  6. Step 6: Final answer
    x = 633,635.72

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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.