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Finding the Fourth Proportional to 351,421.88, 484,943.01 and 206,208.11

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Solution

The fourth proportional to 351,421.88, 484,943.01 and 206,208.11 is: 284,555.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,421.88 : 484,943.01 = 206,208.11 : x
  2. Step 2: Convert to fraction form
    351,421.88/484,943.01 = 206,208.11/x
  3. Step 3: Cross multiply
    351,421.88x = 484,943.01 × 206,208.11
  4. Step 4: Simplify right side
    351,421.88x = 99,999,179,125.10
  5. Step 5: Solve for x
    x = 99,999,179,125.10/351,421.88
  6. Step 6: Final answer
    x = 284,555.93

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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.