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Finding the Fourth Proportional to 376,072, 518,994.72 and 217,096

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Solution

The fourth proportional to 376,072, 518,994.72 and 217,096 is: 299,601.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,072 : 518,994.72 = 217,096 : x
  2. Step 2: Convert to fraction form
    376,072/518,994.72 = 217,096/x
  3. Step 3: Cross multiply
    376,072x = 518,994.72 × 217,096
  4. Step 4: Simplify right side
    376,072x = 112,671,677,733.12
  5. Step 5: Solve for x
    x = 112,671,677,733.12/376,072
  6. Step 6: Final answer
    x = 299,601.35

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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.