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Finding the Fourth Proportional to 289,041.30, 398,823.42 and 168,138.48

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Solution

The fourth proportional to 289,041.30, 398,823.42 and 168,138.48 is: 231,999.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,041.30 : 398,823.42 = 168,138.48 : x
  2. Step 2: Convert to fraction form
    289,041.30/398,823.42 = 168,138.48/x
  3. Step 3: Cross multiply
    289,041.30x = 398,823.42 × 168,138.48
  4. Step 4: Simplify right side
    289,041.30x = 67,057,563,627.20
  5. Step 5: Solve for x
    x = 67,057,563,627.20/289,041.30
  6. Step 6: Final answer
    x = 231,999.94

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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.