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Finding the Fourth Proportional to 468,360, 702,540 and 172,872

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Solution

The fourth proportional to 468,360, 702,540 and 172,872 is: 259,308

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,360 : 702,540 = 172,872 : x
  2. Step 2: Convert to fraction form
    468,360/702,540 = 172,872/x
  3. Step 3: Cross multiply
    468,360x = 702,540 × 172,872
  4. Step 4: Simplify right side
    468,360x = 121,449,494,880
  5. Step 5: Solve for x
    x = 121,449,494,880/468,360
  6. Step 6: Final answer
    x = 259,308

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.