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Finding the Fourth Proportional to 256,620, 354,135.60 and 143,464.62

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Solution

The fourth proportional to 256,620, 354,135.60 and 143,464.62 is: 197,981.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,620 : 354,135.60 = 143,464.62 : x
  2. Step 2: Convert to fraction form
    256,620/354,135.60 = 143,464.62/x
  3. Step 3: Cross multiply
    256,620x = 354,135.60 × 143,464.62
  4. Step 4: Simplify right side
    256,620x = 50,805,929,282.47
  5. Step 5: Solve for x
    x = 50,805,929,282.47/256,620
  6. Step 6: Final answer
    x = 197,981.18

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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.