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Finding the Fourth Proportional to 200,311.20, 300,207.60 and 144,842.40

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Solution

The fourth proportional to 200,311.20, 300,207.60 and 144,842.40 is: 217,076.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,311.20 : 300,207.60 = 144,842.40 : x
  2. Step 2: Convert to fraction form
    200,311.20/300,207.60 = 144,842.40/x
  3. Step 3: Cross multiply
    200,311.20x = 300,207.60 × 144,842.40
  4. Step 4: Simplify right side
    200,311.20x = 43,482,789,282.24
  5. Step 5: Solve for x
    x = 43,482,789,282.24/200,311.20
  6. Step 6: Final answer
    x = 217,076.18

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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.