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Finding the Fourth Proportional to 517,262.44, 713,822.17 and 287,834.50

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Solution

The fourth proportional to 517,262.44, 713,822.17 and 287,834.50 is: 397,211.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,262.44 : 713,822.17 = 287,834.50 : x
  2. Step 2: Convert to fraction form
    517,262.44/713,822.17 = 287,834.50/x
  3. Step 3: Cross multiply
    517,262.44x = 713,822.17 × 287,834.50
  4. Step 4: Simplify right side
    517,262.44x = 205,462,649,301.34
  5. Step 5: Solve for x
    x = 205,462,649,301.34/517,262.44
  6. Step 6: Final answer
    x = 397,211.62

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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.