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Finding the Fourth Proportional to 310,790.94, 428,524.68 and 212,721.54

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Solution

The fourth proportional to 310,790.94, 428,524.68 and 212,721.54 is: 293,304.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,790.94 : 428,524.68 = 212,721.54 : x
  2. Step 2: Convert to fraction form
    310,790.94/428,524.68 = 212,721.54/x
  3. Step 3: Cross multiply
    310,790.94x = 428,524.68 × 212,721.54
  4. Step 4: Simplify right side
    310,790.94x = 91,156,429,857.61
  5. Step 5: Solve for x
    x = 91,156,429,857.61/310,790.94
  6. Step 6: Final answer
    x = 293,304.66

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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.