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Finding the Fourth Proportional to 376,660.34, 519,664.56 and 213,294.50

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Solution

The fourth proportional to 376,660.34, 519,664.56 and 213,294.50 is: 294,274.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,660.34 : 519,664.56 = 213,294.50 : x
  2. Step 2: Convert to fraction form
    376,660.34/519,664.56 = 213,294.50/x
  3. Step 3: Cross multiply
    376,660.34x = 519,664.56 × 213,294.50
  4. Step 4: Simplify right side
    376,660.34x = 110,841,592,492.92
  5. Step 5: Solve for x
    x = 110,841,592,492.92/376,660.34
  6. Step 6: Final answer
    x = 294,274.66

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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.