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Finding the Fourth Proportional to 289,006.47, 398,914.22 and 168,201.45

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Solution

The fourth proportional to 289,006.47, 398,914.22 and 168,201.45 is: 232,167.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,006.47 : 398,914.22 = 168,201.45 : x
  2. Step 2: Convert to fraction form
    289,006.47/398,914.22 = 168,201.45/x
  3. Step 3: Cross multiply
    289,006.47x = 398,914.22 × 168,201.45
  4. Step 4: Simplify right side
    289,006.47x = 67,097,949,388.61
  5. Step 5: Solve for x
    x = 67,097,949,388.61/289,006.47
  6. Step 6: Final answer
    x = 232,167.64

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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.