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Finding the Fourth Proportional to 289,073.28, 398,824.24 and 168,188.68

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Solution

The fourth proportional to 289,073.28, 398,824.24 and 168,188.68 is: 232,044.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,073.28 : 398,824.24 = 168,188.68 : x
  2. Step 2: Convert to fraction form
    289,073.28/398,824.24 = 168,188.68/x
  3. Step 3: Cross multiply
    289,073.28x = 398,824.24 × 168,188.68
  4. Step 4: Simplify right side
    289,073.28x = 67,077,722,477.60
  5. Step 5: Solve for x
    x = 67,077,722,477.60/289,073.28
  6. Step 6: Final answer
    x = 232,044.01

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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.