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Finding the Fourth Proportional to 299,237, 448,952.70 and 209,372.36

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Solution

The fourth proportional to 299,237, 448,952.70 and 209,372.36 is: 314,126.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,237 : 448,952.70 = 209,372.36 : x
  2. Step 2: Convert to fraction form
    299,237/448,952.70 = 209,372.36/x
  3. Step 3: Cross multiply
    299,237x = 448,952.70 × 209,372.36
  4. Step 4: Simplify right side
    299,237x = 93,998,286,327.37
  5. Step 5: Solve for x
    x = 93,998,286,327.37/299,237
  6. Step 6: Final answer
    x = 314,126.55

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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.