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Finding the Fourth Proportional to 309,213.40, 463,820.10 and 239,229.40

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Solution

The fourth proportional to 309,213.40, 463,820.10 and 239,229.40 is: 358,844.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,213.40 : 463,820.10 = 239,229.40 : x
  2. Step 2: Convert to fraction form
    309,213.40/463,820.10 = 239,229.40/x
  3. Step 3: Cross multiply
    309,213.40x = 463,820.10 × 239,229.40
  4. Step 4: Simplify right side
    309,213.40x = 110,959,404,230.94
  5. Step 5: Solve for x
    x = 110,959,404,230.94/309,213.40
  6. Step 6: Final answer
    x = 358,844.10

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Double scale
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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.