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Finding the Fourth Proportional to 213,245.76, 319,934.34 and 153,409.44

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Solution

The fourth proportional to 213,245.76, 319,934.34 and 153,409.44 is: 230,161.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,245.76 : 319,934.34 = 153,409.44 : x
  2. Step 2: Convert to fraction form
    213,245.76/319,934.34 = 153,409.44/x
  3. Step 3: Cross multiply
    213,245.76x = 319,934.34 × 153,409.44
  4. Step 4: Simplify right side
    213,245.76x = 49,080,947,936.17
  5. Step 5: Solve for x
    x = 49,080,947,936.17/213,245.76
  6. Step 6: Final answer
    x = 230,161.42

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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.