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Finding the Fourth Proportional to 458,243.84, 687,020.16 and 300,512

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Solution

The fourth proportional to 458,243.84, 687,020.16 and 300,512 is: 450,541.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,243.84 : 687,020.16 = 300,512 : x
  2. Step 2: Convert to fraction form
    458,243.84/687,020.16 = 300,512/x
  3. Step 3: Cross multiply
    458,243.84x = 687,020.16 × 300,512
  4. Step 4: Simplify right side
    458,243.84x = 206,457,802,321.92
  5. Step 5: Solve for x
    x = 206,457,802,321.92/458,243.84
  6. Step 6: Final answer
    x = 450,541.36

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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.