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Finding the Fourth Proportional to 512,477.40, 769,299.30 and 302,233.80

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Solution

The fourth proportional to 512,477.40, 769,299.30 and 302,233.80 is: 453,694.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,477.40 : 769,299.30 = 302,233.80 : x
  2. Step 2: Convert to fraction form
    512,477.40/769,299.30 = 302,233.80/x
  3. Step 3: Cross multiply
    512,477.40x = 769,299.30 × 302,233.80
  4. Step 4: Simplify right side
    512,477.40x = 232,508,250,776.34
  5. Step 5: Solve for x
    x = 232,508,250,776.34/512,477.40
  6. Step 6: Final answer
    x = 453,694.64

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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.