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Finding the Fourth Proportional to 771,425.57, 1,157,214.49 and 265,920

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Solution

The fourth proportional to 771,425.57, 1,157,214.49 and 265,920 is: 398,906.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,425.57 : 1,157,214.49 = 265,920 : x
  2. Step 2: Convert to fraction form
    771,425.57/1,157,214.49 = 265,920/x
  3. Step 3: Cross multiply
    771,425.57x = 1,157,214.49 × 265,920
  4. Step 4: Simplify right side
    771,425.57x = 307,726,477,180.80
  5. Step 5: Solve for x
    x = 307,726,477,180.80/771,425.57
  6. Step 6: Final answer
    x = 398,906.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.