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Finding the Fourth Proportional to 299,054.40, 448,063.20 and 193,819.20

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Solution

The fourth proportional to 299,054.40, 448,063.20 and 193,819.20 is: 290,392.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,054.40 : 448,063.20 = 193,819.20 : x
  2. Step 2: Convert to fraction form
    299,054.40/448,063.20 = 193,819.20/x
  3. Step 3: Cross multiply
    299,054.40x = 448,063.20 × 193,819.20
  4. Step 4: Simplify right side
    299,054.40x = 86,843,250,973.44
  5. Step 5: Solve for x
    x = 86,843,250,973.44/299,054.40
  6. Step 6: Final answer
    x = 290,392.82

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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.