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Finding the Fourth Proportional to 288,896.41, 398,662.72 and 159,829.93

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Solution

The fourth proportional to 288,896.41, 398,662.72 and 159,829.93 is: 220,557.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,896.41 : 398,662.72 = 159,829.93 : x
  2. Step 2: Convert to fraction form
    288,896.41/398,662.72 = 159,829.93/x
  3. Step 3: Cross multiply
    288,896.41x = 398,662.72 × 159,829.93
  4. Step 4: Simplify right side
    288,896.41x = 63,718,234,631.21
  5. Step 5: Solve for x
    x = 63,718,234,631.21/288,896.41
  6. Step 6: Final answer
    x = 220,557.38

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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.