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Finding the Fourth Proportional to 288,523.20, 432,439.20 and 148,209.60

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Solution

The fourth proportional to 288,523.20, 432,439.20 and 148,209.60 is: 222,136.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,523.20 : 432,439.20 = 148,209.60 : x
  2. Step 2: Convert to fraction form
    288,523.20/432,439.20 = 148,209.60/x
  3. Step 3: Cross multiply
    288,523.20x = 432,439.20 × 148,209.60
  4. Step 4: Simplify right side
    288,523.20x = 64,091,640,856.32
  5. Step 5: Solve for x
    x = 64,091,640,856.32/288,523.20
  6. Step 6: Final answer
    x = 222,136.87

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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.