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Finding the Fourth Proportional to 430,855.20, 646,023.60 and 220,903.20

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Solution

The fourth proportional to 430,855.20, 646,023.60 and 220,903.20 is: 331,221.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,855.20 : 646,023.60 = 220,903.20 : x
  2. Step 2: Convert to fraction form
    430,855.20/646,023.60 = 220,903.20/x
  3. Step 3: Cross multiply
    430,855.20x = 646,023.60 × 220,903.20
  4. Step 4: Simplify right side
    430,855.20x = 142,708,680,515.52
  5. Step 5: Solve for x
    x = 142,708,680,515.52/430,855.20
  6. Step 6: Final answer
    x = 331,221.91

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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.