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Finding the Fourth Proportional to 360,725.76, 497,880 and 209,842.56

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Solution

The fourth proportional to 360,725.76, 497,880 and 209,842.56 is: 289,628.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,725.76 : 497,880 = 209,842.56 : x
  2. Step 2: Convert to fraction form
    360,725.76/497,880 = 209,842.56/x
  3. Step 3: Cross multiply
    360,725.76x = 497,880 × 209,842.56
  4. Step 4: Simplify right side
    360,725.76x = 104,476,413,772.80
  5. Step 5: Solve for x
    x = 104,476,413,772.80/360,725.76
  6. Step 6: Final answer
    x = 289,628.37

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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.