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Finding the Fourth Proportional to 430,611.32, 645,982.60 and 220,178.20

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Solution

The fourth proportional to 430,611.32, 645,982.60 and 220,178.20 is: 330,300.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,611.32 : 645,982.60 = 220,178.20 : x
  2. Step 2: Convert to fraction form
    430,611.32/645,982.60 = 220,178.20/x
  3. Step 3: Cross multiply
    430,611.32x = 645,982.60 × 220,178.20
  4. Step 4: Simplify right side
    430,611.32x = 142,231,286,099.32
  5. Step 5: Solve for x
    x = 142,231,286,099.32/430,611.32
  6. Step 6: Final answer
    x = 330,300.85

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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.