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Finding the Fourth Proportional to 430,611.20, 645,657.60 and 220,659.20

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Solution

The fourth proportional to 430,611.20, 645,657.60 and 220,659.20 is: 330,855.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,611.20 : 645,657.60 = 220,659.20 : x
  2. Step 2: Convert to fraction form
    430,611.20/645,657.60 = 220,659.20/x
  3. Step 3: Cross multiply
    430,611.20x = 645,657.60 × 220,659.20
  4. Step 4: Simplify right side
    430,611.20x = 142,470,289,489.92
  5. Step 5: Solve for x
    x = 142,470,289,489.92/430,611.20
  6. Step 6: Final answer
    x = 330,855.98

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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.