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Finding the Fourth Proportional to 297,056, 409,956.72 and 162,920

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Solution

The fourth proportional to 297,056, 409,956.72 and 162,920 is: 224,840.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,056 : 409,956.72 = 162,920 : x
  2. Step 2: Convert to fraction form
    297,056/409,956.72 = 162,920/x
  3. Step 3: Cross multiply
    297,056x = 409,956.72 × 162,920
  4. Step 4: Simplify right side
    297,056x = 66,790,148,822.40
  5. Step 5: Solve for x
    x = 66,790,148,822.40/297,056
  6. Step 6: Final answer
    x = 224,840.26

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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.