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Finding the Fourth Proportional to 298,720.56, 412,239.12 and 162,760.92

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Solution

The fourth proportional to 298,720.56, 412,239.12 and 162,760.92 is: 224,612.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,720.56 : 412,239.12 = 162,760.92 : x
  2. Step 2: Convert to fraction form
    298,720.56/412,239.12 = 162,760.92/x
  3. Step 3: Cross multiply
    298,720.56x = 412,239.12 × 162,760.92
  4. Step 4: Simplify right side
    298,720.56x = 67,096,418,431.19
  5. Step 5: Solve for x
    x = 67,096,418,431.19/298,720.56
  6. Step 6: Final answer
    x = 224,612.66

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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.