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Finding the Fourth Proportional to 494,428.80, 741,470.40 and 257,692.80

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Solution

The fourth proportional to 494,428.80, 741,470.40 and 257,692.80 is: 386,449.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,428.80 : 741,470.40 = 257,692.80 : x
  2. Step 2: Convert to fraction form
    494,428.80/741,470.40 = 257,692.80/x
  3. Step 3: Cross multiply
    494,428.80x = 741,470.40 × 257,692.80
  4. Step 4: Simplify right side
    494,428.80x = 191,071,583,493.12
  5. Step 5: Solve for x
    x = 191,071,583,493.12/494,428.80
  6. Step 6: Final answer
    x = 386,449.14

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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.