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Finding the Fourth Proportional to 560,324.67, 840,374.01 and 205,217.43

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Solution

The fourth proportional to 560,324.67, 840,374.01 and 205,217.43 is: 307,784.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,324.67 : 840,374.01 = 205,217.43 : x
  2. Step 2: Convert to fraction form
    560,324.67/840,374.01 = 205,217.43/x
  3. Step 3: Cross multiply
    560,324.67x = 840,374.01 × 205,217.43
  4. Step 4: Simplify right side
    560,324.67x = 172,459,394,570.99
  5. Step 5: Solve for x
    x = 172,459,394,570.99/560,324.67
  6. Step 6: Final answer
    x = 307,784.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.