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Finding the Fourth Proportional to 514,107.48, 709,468.12 and 287,753

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Solution

The fourth proportional to 514,107.48, 709,468.12 and 287,753 is: 397,099.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,107.48 : 709,468.12 = 287,753 : x
  2. Step 2: Convert to fraction form
    514,107.48/709,468.12 = 287,753/x
  3. Step 3: Cross multiply
    514,107.48x = 709,468.12 × 287,753
  4. Step 4: Simplify right side
    514,107.48x = 204,151,579,934.36
  5. Step 5: Solve for x
    x = 204,151,579,934.36/514,107.48
  6. Step 6: Final answer
    x = 397,099.03

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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.