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Finding the Fourth Proportional to 302,090.40, 452,617.20 and 196,855.20

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Solution

The fourth proportional to 302,090.40, 452,617.20 and 196,855.20 is: 294,944.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,090.40 : 452,617.20 = 196,855.20 : x
  2. Step 2: Convert to fraction form
    302,090.40/452,617.20 = 196,855.20/x
  3. Step 3: Cross multiply
    302,090.40x = 452,617.20 × 196,855.20
  4. Step 4: Simplify right side
    302,090.40x = 89,100,049,429.44
  5. Step 5: Solve for x
    x = 89,100,049,429.44/302,090.40
  6. Step 6: Final answer
    x = 294,944.99

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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.