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Finding the Fourth Proportional to 298,872, 412,440.69 and 162,905.94

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Solution

The fourth proportional to 298,872, 412,440.69 and 162,905.94 is: 224,808.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,872 : 412,440.69 = 162,905.94 : x
  2. Step 2: Convert to fraction form
    298,872/412,440.69 = 162,905.94/x
  3. Step 3: Cross multiply
    298,872x = 412,440.69 × 162,905.94
  4. Step 4: Simplify right side
    298,872x = 67,189,038,298.70
  5. Step 5: Solve for x
    x = 67,189,038,298.70/298,872
  6. Step 6: Final answer
    x = 224,808.74

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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.