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Finding the Fourth Proportional to 303,977.81, 419,271.82 and 213,354

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Solution

The fourth proportional to 303,977.81, 419,271.82 and 213,354 is: 294,275.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,977.81 : 419,271.82 = 213,354 : x
  2. Step 2: Convert to fraction form
    303,977.81/419,271.82 = 213,354/x
  3. Step 3: Cross multiply
    303,977.81x = 419,271.82 × 213,354
  4. Step 4: Simplify right side
    303,977.81x = 89,453,319,350.90
  5. Step 5: Solve for x
    x = 89,453,319,350.90/303,977.81
  6. Step 6: Final answer
    x = 294,275.82

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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.