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Finding the Fourth Proportional to 274,135.20, 384,895.20 and 274,135.20

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Solution

The fourth proportional to 274,135.20, 384,895.20 and 274,135.20 is: 384,895.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,135.20 : 384,895.20 = 274,135.20 : x
  2. Step 2: Convert to fraction form
    274,135.20/384,895.20 = 274,135.20/x
  3. Step 3: Cross multiply
    274,135.20x = 384,895.20 × 274,135.20
  4. Step 4: Simplify right side
    274,135.20x = 105,513,322,631.04
  5. Step 5: Solve for x
    x = 105,513,322,631.04/274,135.20
  6. Step 6: Final answer
    x = 384,895.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.