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Finding the Fourth Proportional to 298,784.91, 412,318.05 and 162,820.04

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Solution

The fourth proportional to 298,784.91, 412,318.05 and 162,820.04 is: 224,688.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,784.91 : 412,318.05 = 162,820.04 : x
  2. Step 2: Convert to fraction form
    298,784.91/412,318.05 = 162,820.04/x
  3. Step 3: Cross multiply
    298,784.91x = 412,318.05 × 162,820.04
  4. Step 4: Simplify right side
    298,784.91x = 67,133,639,739.18
  5. Step 5: Solve for x
    x = 67,133,639,739.18/298,784.91
  6. Step 6: Final answer
    x = 224,688.85

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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.