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Finding the Fourth Proportional to 305,968.36, 458,794.16 and 137,343.49

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Solution

The fourth proportional to 305,968.36, 458,794.16 and 137,343.49 is: 205,944.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,968.36 : 458,794.16 = 137,343.49 : x
  2. Step 2: Convert to fraction form
    305,968.36/458,794.16 = 137,343.49/x
  3. Step 3: Cross multiply
    305,968.36x = 458,794.16 × 137,343.49
  4. Step 4: Simplify right side
    305,968.36x = 63,012,388,872.47
  5. Step 5: Solve for x
    x = 63,012,388,872.47/305,968.36
  6. Step 6: Final answer
    x = 205,944.13

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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.