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Finding the Fourth Proportional to 430,846.80, 646,270.20 and 194,650.80

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Solution

The fourth proportional to 430,846.80, 646,270.20 and 194,650.80 is: 291,976.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,846.80 : 646,270.20 = 194,650.80 : x
  2. Step 2: Convert to fraction form
    430,846.80/646,270.20 = 194,650.80/x
  3. Step 3: Cross multiply
    430,846.80x = 646,270.20 × 194,650.80
  4. Step 4: Simplify right side
    430,846.80x = 125,797,011,446.16
  5. Step 5: Solve for x
    x = 125,797,011,446.16/430,846.80
  6. Step 6: Final answer
    x = 291,976.20

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Similar ratio
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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.