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Finding the Fourth Proportional to 289,009.54, 398,824.97 and 159,953.31

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Solution

The fourth proportional to 289,009.54, 398,824.97 and 159,953.31 is: 220,731.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,009.54 : 398,824.97 = 159,953.31 : x
  2. Step 2: Convert to fraction form
    289,009.54/398,824.97 = 159,953.31/x
  3. Step 3: Cross multiply
    289,009.54x = 398,824.97 × 159,953.31
  4. Step 4: Simplify right side
    289,009.54x = 63,793,372,140.69
  5. Step 5: Solve for x
    x = 63,793,372,140.69/289,009.54
  6. Step 6: Final answer
    x = 220,731.02

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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.