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Finding the Fourth Proportional to 307,402, 424,564.68 and 206,625.04

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Solution

The fourth proportional to 307,402, 424,564.68 and 206,625.04 is: 285,377.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,402 : 424,564.68 = 206,625.04 : x
  2. Step 2: Convert to fraction form
    307,402/424,564.68 = 206,625.04/x
  3. Step 3: Cross multiply
    307,402x = 424,564.68 × 206,625.04
  4. Step 4: Simplify right side
    307,402x = 87,725,693,987.59
  5. Step 5: Solve for x
    x = 87,725,693,987.59/307,402
  6. Step 6: Final answer
    x = 285,377.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.