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Finding the Fourth Proportional to 313,573.20, 470,359.80 and 311,823.60

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Solution

The fourth proportional to 313,573.20, 470,359.80 and 311,823.60 is: 467,735.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,573.20 : 470,359.80 = 311,823.60 : x
  2. Step 2: Convert to fraction form
    313,573.20/470,359.80 = 311,823.60/x
  3. Step 3: Cross multiply
    313,573.20x = 470,359.80 × 311,823.60
  4. Step 4: Simplify right side
    313,573.20x = 146,669,286,131.28
  5. Step 5: Solve for x
    x = 146,669,286,131.28/313,573.20
  6. Step 6: Final answer
    x = 467,735.40

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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.