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Finding the Fourth Proportional to 494,152.80, 741,574.80 and 213,871.20

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Solution

The fourth proportional to 494,152.80, 741,574.80 and 213,871.20 is: 320,956.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,152.80 : 741,574.80 = 213,871.20 : x
  2. Step 2: Convert to fraction form
    494,152.80/741,574.80 = 213,871.20/x
  3. Step 3: Cross multiply
    494,152.80x = 741,574.80 × 213,871.20
  4. Step 4: Simplify right side
    494,152.80x = 158,601,492,365.76
  5. Step 5: Solve for x
    x = 158,601,492,365.76/494,152.80
  6. Step 6: Final answer
    x = 320,956.38

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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.