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Finding the Fourth Proportional to 514,462.53, 709,958.37 and 288,108.03

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Solution

The fourth proportional to 514,462.53, 709,958.37 and 288,108.03 is: 397,589.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,462.53 : 709,958.37 = 288,108.03 : x
  2. Step 2: Convert to fraction form
    514,462.53/709,958.37 = 288,108.03/x
  3. Step 3: Cross multiply
    514,462.53x = 709,958.37 × 288,108.03
  4. Step 4: Simplify right side
    514,462.53x = 204,544,707,362.71
  5. Step 5: Solve for x
    x = 204,544,707,362.71/514,462.53
  6. Step 6: Final answer
    x = 397,589.13

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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.