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Finding the Fourth Proportional to 409,873, 565,624.74 and 231,025

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Solution

The fourth proportional to 409,873, 565,624.74 and 231,025 is: 318,814.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,873 : 565,624.74 = 231,025 : x
  2. Step 2: Convert to fraction form
    409,873/565,624.74 = 231,025/x
  3. Step 3: Cross multiply
    409,873x = 565,624.74 × 231,025
  4. Step 4: Simplify right side
    409,873x = 130,673,455,558.50
  5. Step 5: Solve for x
    x = 130,673,455,558.50/409,873
  6. Step 6: Final answer
    x = 318,814.50

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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.