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Finding the Fourth Proportional to 379,498.84, 523,369.37 and 314,865.74

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Solution

The fourth proportional to 379,498.84, 523,369.37 and 314,865.74 is: 434,233.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,498.84 : 523,369.37 = 314,865.74 : x
  2. Step 2: Convert to fraction form
    379,498.84/523,369.37 = 314,865.74/x
  3. Step 3: Cross multiply
    379,498.84x = 523,369.37 × 314,865.74
  4. Step 4: Simplify right side
    379,498.84x = 164,791,086,073.97
  5. Step 5: Solve for x
    x = 164,791,086,073.97/379,498.84
  6. Step 6: Final answer
    x = 434,233.44

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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.