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Finding the Fourth Proportional to 453,715.80, 680,573.70 and 311,998.20

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Solution

The fourth proportional to 453,715.80, 680,573.70 and 311,998.20 is: 467,997.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,715.80 : 680,573.70 = 311,998.20 : x
  2. Step 2: Convert to fraction form
    453,715.80/680,573.70 = 311,998.20/x
  3. Step 3: Cross multiply
    453,715.80x = 680,573.70 × 311,998.20
  4. Step 4: Simplify right side
    453,715.80x = 212,337,769,367.34
  5. Step 5: Solve for x
    x = 212,337,769,367.34/453,715.80
  6. Step 6: Final answer
    x = 467,997.30

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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.