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Finding the Fourth Proportional to 297,006.54, 409,719.43 and 212,172.81

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Solution

The fourth proportional to 297,006.54, 409,719.43 and 212,172.81 is: 292,691.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,006.54 : 409,719.43 = 212,172.81 : x
  2. Step 2: Convert to fraction form
    297,006.54/409,719.43 = 212,172.81/x
  3. Step 3: Cross multiply
    297,006.54x = 409,719.43 × 212,172.81
  4. Step 4: Simplify right side
    297,006.54x = 86,931,322,774.70
  5. Step 5: Solve for x
    x = 86,931,322,774.70/297,006.54
  6. Step 6: Final answer
    x = 292,691.61

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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.