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Finding the Fourth Proportional to 375,943.50, 518,802.30 and 206,178.30

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Solution

The fourth proportional to 375,943.50, 518,802.30 and 206,178.30 is: 284,526.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,943.50 : 518,802.30 = 206,178.30 : x
  2. Step 2: Convert to fraction form
    375,943.50/518,802.30 = 206,178.30/x
  3. Step 3: Cross multiply
    375,943.50x = 518,802.30 × 206,178.30
  4. Step 4: Simplify right side
    375,943.50x = 106,965,776,250.09
  5. Step 5: Solve for x
    x = 106,965,776,250.09/375,943.50
  6. Step 6: Final answer
    x = 284,526.20

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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.