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Finding the Fourth Proportional to 297,008, 409,890.60 and 162,872

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Solution

The fourth proportional to 297,008, 409,890.60 and 162,872 is: 224,774.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,008 : 409,890.60 = 162,872 : x
  2. Step 2: Convert to fraction form
    297,008/409,890.60 = 162,872/x
  3. Step 3: Cross multiply
    297,008x = 409,890.60 × 162,872
  4. Step 4: Simplify right side
    297,008x = 66,759,701,803.20
  5. Step 5: Solve for x
    x = 66,759,701,803.20/297,008
  6. Step 6: Final answer
    x = 224,774.09

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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.