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Finding the Fourth Proportional to 352,106.84, 485,969.56 and 208,945.82

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Solution

The fourth proportional to 352,106.84, 485,969.56 and 208,945.82 is: 288,382.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,106.84 : 485,969.56 = 208,945.82 : x
  2. Step 2: Convert to fraction form
    352,106.84/485,969.56 = 208,945.82/x
  3. Step 3: Cross multiply
    352,106.84x = 485,969.56 × 208,945.82
  4. Step 4: Simplify right side
    352,106.84x = 101,541,308,209.24
  5. Step 5: Solve for x
    x = 101,541,308,209.24/352,106.84
  6. Step 6: Final answer
    x = 288,382.10

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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.