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Finding the Fourth Proportional to 283,457.72, 391,522.74 and 205,809.50

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Solution

The fourth proportional to 283,457.72, 391,522.74 and 205,809.50 is: 284,272.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,457.72 : 391,522.74 = 205,809.50 : x
  2. Step 2: Convert to fraction form
    283,457.72/391,522.74 = 205,809.50/x
  3. Step 3: Cross multiply
    283,457.72x = 391,522.74 × 205,809.50
  4. Step 4: Simplify right side
    283,457.72x = 80,579,099,358.03
  5. Step 5: Solve for x
    x = 80,579,099,358.03/283,457.72
  6. Step 6: Final answer
    x = 284,272.02

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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.