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Finding the Fourth Proportional to 307,398, 460,846.71 and 206,300.28

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Solution

The fourth proportional to 307,398, 460,846.71 and 206,300.28 is: 309,282.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,398 : 460,846.71 = 206,300.28 : x
  2. Step 2: Convert to fraction form
    307,398/460,846.71 = 206,300.28/x
  3. Step 3: Cross multiply
    307,398x = 460,846.71 × 206,300.28
  4. Step 4: Simplify right side
    307,398x = 95,072,805,310.08
  5. Step 5: Solve for x
    x = 95,072,805,310.08/307,398
  6. Step 6: Final answer
    x = 309,282.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.