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Finding the Fourth Proportional to 311,072.34, 466,133.18 and 209,494.80

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Solution

The fourth proportional to 311,072.34, 466,133.18 and 209,494.80 is: 313,922.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,072.34 : 466,133.18 = 209,494.80 : x
  2. Step 2: Convert to fraction form
    311,072.34/466,133.18 = 209,494.80/x
  3. Step 3: Cross multiply
    311,072.34x = 466,133.18 × 209,494.80
  4. Step 4: Simplify right side
    311,072.34x = 97,652,476,269.99
  5. Step 5: Solve for x
    x = 97,652,476,269.99/311,072.34
  6. Step 6: Final answer
    x = 313,922.08

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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.