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Finding the Fourth Proportional to 298,820.28, 412,372.05 and 162,854.34

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Solution

The fourth proportional to 298,820.28, 412,372.05 and 162,854.34 is: 224,739.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,820.28 : 412,372.05 = 162,854.34 : x
  2. Step 2: Convert to fraction form
    298,820.28/412,372.05 = 162,854.34/x
  3. Step 3: Cross multiply
    298,820.28x = 412,372.05 × 162,854.34
  4. Step 4: Simplify right side
    298,820.28x = 67,156,578,037.20
  5. Step 5: Solve for x
    x = 67,156,578,037.20/298,820.28
  6. Step 6: Final answer
    x = 224,739.02

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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.