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Finding the Fourth Proportional to 353,959.07, 488,471.65 and 200,972.95

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Solution

The fourth proportional to 353,959.07, 488,471.65 and 200,972.95 is: 277,347.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,959.07 : 488,471.65 = 200,972.95 : x
  2. Step 2: Convert to fraction form
    353,959.07/488,471.65 = 200,972.95/x
  3. Step 3: Cross multiply
    353,959.07x = 488,471.65 × 200,972.95
  4. Step 4: Simplify right side
    353,959.07x = 98,169,586,768.26
  5. Step 5: Solve for x
    x = 98,169,586,768.26/353,959.07
  6. Step 6: Final answer
    x = 277,347.29

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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.