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Finding the Fourth Proportional to 310,721.53, 428,992.71 and 212,768.68

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Solution

The fourth proportional to 310,721.53, 428,992.71 and 212,768.68 is: 293,755.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,721.53 : 428,992.71 = 212,768.68 : x
  2. Step 2: Convert to fraction form
    310,721.53/428,992.71 = 212,768.68/x
  3. Step 3: Cross multiply
    310,721.53x = 428,992.71 × 212,768.68
  4. Step 4: Simplify right side
    310,721.53x = 91,276,212,636.32
  5. Step 5: Solve for x
    x = 91,276,212,636.32/310,721.53
  6. Step 6: Final answer
    x = 293,755.68

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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.