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Finding the Fourth Proportional to 301,965.30, 452,401.20 and 239,198.40

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Solution

The fourth proportional to 301,965.30, 452,401.20 and 239,198.40 is: 358,364.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,965.30 : 452,401.20 = 239,198.40 : x
  2. Step 2: Convert to fraction form
    301,965.30/452,401.20 = 239,198.40/x
  3. Step 3: Cross multiply
    301,965.30x = 452,401.20 × 239,198.40
  4. Step 4: Simplify right side
    301,965.30x = 108,213,643,198.08
  5. Step 5: Solve for x
    x = 108,213,643,198.08/301,965.30
  6. Step 6: Final answer
    x = 358,364.50

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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.