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Finding the Fourth Proportional to 200,386.80, 300,446.82 and 120,244.32

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Solution

The fourth proportional to 200,386.80, 300,446.82 and 120,244.32 is: 180,286.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,386.80 : 300,446.82 = 120,244.32 : x
  2. Step 2: Convert to fraction form
    200,386.80/300,446.82 = 120,244.32/x
  3. Step 3: Cross multiply
    200,386.80x = 300,446.82 × 120,244.32
  4. Step 4: Simplify right side
    200,386.80x = 36,127,023,567.06
  5. Step 5: Solve for x
    x = 36,127,023,567.06/200,386.80
  6. Step 6: Final answer
    x = 180,286.44

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1.5x scale

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.