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Finding the Fourth Proportional to 299,108.96, 412,775.28 and 163,142.90

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Solution

The fourth proportional to 299,108.96, 412,775.28 and 163,142.90 is: 225,139.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,108.96 : 412,775.28 = 163,142.90 : x
  2. Step 2: Convert to fraction form
    299,108.96/412,775.28 = 163,142.90/x
  3. Step 3: Cross multiply
    299,108.96x = 412,775.28 × 163,142.90
  4. Step 4: Simplify right side
    299,108.96x = 67,341,357,259.45
  5. Step 5: Solve for x
    x = 67,341,357,259.45/299,108.96
  6. Step 6: Final answer
    x = 225,139.88

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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.