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Finding the Fourth Proportional to 303,981.35, 419,276.66 and 213,357.56

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Solution

The fourth proportional to 303,981.35, 419,276.66 and 213,357.56 is: 294,280.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,981.35 : 419,276.66 = 213,357.56 : x
  2. Step 2: Convert to fraction form
    303,981.35/419,276.66 = 213,357.56/x
  3. Step 3: Cross multiply
    303,981.35x = 419,276.66 × 213,357.56
  4. Step 4: Simplify right side
    303,981.35x = 89,455,841,979.38
  5. Step 5: Solve for x
    x = 89,455,841,979.38/303,981.35
  6. Step 6: Final answer
    x = 294,280.70

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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.