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Finding the Fourth Proportional to 289,039.83, 398,871.99 and 159,978.60

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Solution

The fourth proportional to 289,039.83, 398,871.99 and 159,978.60 is: 220,768.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,039.83 : 398,871.99 = 159,978.60 : x
  2. Step 2: Convert to fraction form
    289,039.83/398,871.99 = 159,978.60/x
  3. Step 3: Cross multiply
    289,039.83x = 398,871.99 × 159,978.60
  4. Step 4: Simplify right side
    289,039.83x = 63,810,982,539.41
  5. Step 5: Solve for x
    x = 63,810,982,539.41/289,039.83
  6. Step 6: Final answer
    x = 220,768.82

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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.