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Finding the Fourth Proportional to 297,010.56, 409,724.94 and 212,176.82

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Solution

The fourth proportional to 297,010.56, 409,724.94 and 212,176.82 is: 292,697.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,010.56 : 409,724.94 = 212,176.82 : x
  2. Step 2: Convert to fraction form
    297,010.56/409,724.94 = 212,176.82/x
  3. Step 3: Cross multiply
    297,010.56x = 409,724.94 × 212,176.82
  4. Step 4: Simplify right side
    297,010.56x = 86,934,134,843.89
  5. Step 5: Solve for x
    x = 86,934,134,843.89/297,010.56
  6. Step 6: Final answer
    x = 292,697.12

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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.