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Finding the Fourth Proportional to 514,103.99, 709,463.31 and 287,749.49

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Solution

The fourth proportional to 514,103.99, 709,463.31 and 287,749.49 is: 397,094.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,103.99 : 709,463.31 = 287,749.49 : x
  2. Step 2: Convert to fraction form
    514,103.99/709,463.31 = 287,749.49/x
  3. Step 3: Cross multiply
    514,103.99x = 709,463.31 × 287,749.49
  4. Step 4: Simplify right side
    514,103.99x = 204,147,705,626.21
  5. Step 5: Solve for x
    x = 204,147,705,626.21/514,103.99
  6. Step 6: Final answer
    x = 397,094.19

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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.