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Finding the Fourth Proportional to 307,522.70, 461,284.05 and 188,809.10

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Solution

The fourth proportional to 307,522.70, 461,284.05 and 188,809.10 is: 283,213.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,522.70 : 461,284.05 = 188,809.10 : x
  2. Step 2: Convert to fraction form
    307,522.70/461,284.05 = 188,809.10/x
  3. Step 3: Cross multiply
    307,522.70x = 461,284.05 × 188,809.10
  4. Step 4: Simplify right side
    307,522.70x = 87,094,626,324.86
  5. Step 5: Solve for x
    x = 87,094,626,324.86/307,522.70
  6. Step 6: Final answer
    x = 283,213.65

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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.