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Finding the Fourth Proportional to 409,815.20, 615,183.60 and 316,733.60

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Solution

The fourth proportional to 409,815.20, 615,183.60 and 316,733.60 is: 475,456.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,815.20 : 615,183.60 = 316,733.60 : x
  2. Step 2: Convert to fraction form
    409,815.20/615,183.60 = 316,733.60/x
  3. Step 3: Cross multiply
    409,815.20x = 615,183.60 × 316,733.60
  4. Step 4: Simplify right side
    409,815.20x = 194,849,316,288.96
  5. Step 5: Solve for x
    x = 194,849,316,288.96/409,815.20
  6. Step 6: Final answer
    x = 475,456.54

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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.