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Finding the Fourth Proportional to 299,031.76, 412,660.56 and 163,065.28

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Solution

The fourth proportional to 299,031.76, 412,660.56 and 163,065.28 is: 225,028.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,031.76 : 412,660.56 = 163,065.28 : x
  2. Step 2: Convert to fraction form
    299,031.76/412,660.56 = 163,065.28/x
  3. Step 3: Cross multiply
    299,031.76x = 412,660.56 × 163,065.28
  4. Step 4: Simplify right side
    299,031.76x = 67,290,609,761.36
  5. Step 5: Solve for x
    x = 67,290,609,761.36/299,031.76
  6. Step 6: Final answer
    x = 225,028.30

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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.