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Finding the Fourth Proportional to 213,591.41, 319,803.49 and 153,679.76

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Solution

The fourth proportional to 213,591.41, 319,803.49 and 153,679.76 is: 230,099.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,591.41 : 319,803.49 = 153,679.76 : x
  2. Step 2: Convert to fraction form
    213,591.41/319,803.49 = 153,679.76/x
  3. Step 3: Cross multiply
    213,591.41x = 319,803.49 × 153,679.76
  4. Step 4: Simplify right side
    213,591.41x = 49,147,322,483.26
  5. Step 5: Solve for x
    x = 49,147,322,483.26/213,591.41
  6. Step 6: Final answer
    x = 230,099.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.