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Finding the Fourth Proportional to 376,416, 519,387 and 213,071.68

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Solution

The fourth proportional to 376,416, 519,387 and 213,071.68 is: 294,000.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,416 : 519,387 = 213,071.68 : x
  2. Step 2: Convert to fraction form
    376,416/519,387 = 213,071.68/x
  3. Step 3: Cross multiply
    376,416x = 519,387 × 213,071.68
  4. Step 4: Simplify right side
    376,416x = 110,666,660,660.16
  5. Step 5: Solve for x
    x = 110,666,660,660.16/376,416
  6. Step 6: Final answer
    x = 294,000.95

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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.