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Finding the Fourth Proportional to 309,053.52, 463,591.56 and 109,395

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Solution

The fourth proportional to 309,053.52, 463,591.56 and 109,395 is: 164,096.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,053.52 : 463,591.56 = 109,395 : x
  2. Step 2: Convert to fraction form
    309,053.52/463,591.56 = 109,395/x
  3. Step 3: Cross multiply
    309,053.52x = 463,591.56 × 109,395
  4. Step 4: Simplify right side
    309,053.52x = 50,714,598,706.20
  5. Step 5: Solve for x
    x = 50,714,598,706.20/309,053.52
  6. Step 6: Final answer
    x = 164,096.49

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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.