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Finding the Fourth Proportional to 299,048.78, 412,697.22 and 163,090.14

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Solution

The fourth proportional to 299,048.78, 412,697.22 and 163,090.14 is: 225,069.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,048.78 : 412,697.22 = 163,090.14 : x
  2. Step 2: Convert to fraction form
    299,048.78/412,697.22 = 163,090.14/x
  3. Step 3: Cross multiply
    299,048.78x = 412,697.22 × 163,090.14
  4. Step 4: Simplify right side
    299,048.78x = 67,306,847,387.41
  5. Step 5: Solve for x
    x = 67,306,847,387.41/299,048.78
  6. Step 6: Final answer
    x = 225,069.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.