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Finding the Fourth Proportional to 289,680.91, 399,680.41 and 173,347.54

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Solution

The fourth proportional to 289,680.91, 399,680.41 and 173,347.54 is: 239,172.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,680.91 : 399,680.41 = 173,347.54 : x
  2. Step 2: Convert to fraction form
    289,680.91/399,680.41 = 173,347.54/x
  3. Step 3: Cross multiply
    289,680.91x = 399,680.41 × 173,347.54
  4. Step 4: Simplify right side
    289,680.91x = 69,283,617,000.35
  5. Step 5: Solve for x
    x = 69,283,617,000.35/289,680.91
  6. Step 6: Final answer
    x = 239,172.19

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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.