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Finding the Fourth Proportional to 299,238, 448,954.20 and 209,373.36

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Solution

The fourth proportional to 299,238, 448,954.20 and 209,373.36 is: 314,128.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,238 : 448,954.20 = 209,373.36 : x
  2. Step 2: Convert to fraction form
    299,238/448,954.20 = 209,373.36/x
  3. Step 3: Cross multiply
    299,238x = 448,954.20 × 209,373.36
  4. Step 4: Simplify right side
    299,238x = 93,999,049,340.11
  5. Step 5: Solve for x
    x = 93,999,049,340.11/299,238
  6. Step 6: Final answer
    x = 314,128.05

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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.