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Finding the Fourth Proportional to 298,785.42, 412,318.74 and 162,820.53

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Solution

The fourth proportional to 298,785.42, 412,318.74 and 162,820.53 is: 224,689.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,785.42 : 412,318.74 = 162,820.53 : x
  2. Step 2: Convert to fraction form
    298,785.42/412,318.74 = 162,820.53/x
  3. Step 3: Cross multiply
    298,785.42x = 412,318.74 × 162,820.53
  4. Step 4: Simplify right side
    298,785.42x = 67,133,955,775.73
  5. Step 5: Solve for x
    x = 67,133,955,775.73/298,785.42
  6. Step 6: Final answer
    x = 224,689.53

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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.