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Finding the Fourth Proportional to 307,298, 424,187.88 and 206,754.32

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Solution

The fourth proportional to 307,298, 424,187.88 and 206,754.32 is: 285,399.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,298 : 424,187.88 = 206,754.32 : x
  2. Step 2: Convert to fraction form
    307,298/424,187.88 = 206,754.32/x
  3. Step 3: Cross multiply
    307,298x = 424,187.88 × 206,754.32
  4. Step 4: Simplify right side
    307,298x = 87,702,676,681.64
  5. Step 5: Solve for x
    x = 87,702,676,681.64/307,298
  6. Step 6: Final answer
    x = 285,399.44

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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.