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Finding the Fourth Proportional to 298,785.91, 412,319.43 and 162,821.04

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Solution

The fourth proportional to 298,785.91, 412,319.43 and 162,821.04 is: 224,690.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,785.91 : 412,319.43 = 162,821.04 : x
  2. Step 2: Convert to fraction form
    298,785.91/412,319.43 = 162,821.04/x
  3. Step 3: Cross multiply
    298,785.91x = 412,319.43 × 162,821.04
  4. Step 4: Simplify right side
    298,785.91x = 67,134,278,404.81
  5. Step 5: Solve for x
    x = 67,134,278,404.81/298,785.91
  6. Step 6: Final answer
    x = 224,690.24

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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.