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Finding the Fourth Proportional to 430,234.60, 645,351.90 and 311,348.20

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Solution

The fourth proportional to 430,234.60, 645,351.90 and 311,348.20 is: 467,022.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,234.60 : 645,351.90 = 311,348.20 : x
  2. Step 2: Convert to fraction form
    430,234.60/645,351.90 = 311,348.20/x
  3. Step 3: Cross multiply
    430,234.60x = 645,351.90 × 311,348.20
  4. Step 4: Simplify right side
    430,234.60x = 200,929,152,431.58
  5. Step 5: Solve for x
    x = 200,929,152,431.58/430,234.60
  6. Step 6: Final answer
    x = 467,022.30

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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.