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Finding the Fourth Proportional to 307,380, 424,534.32 and 206,603.04

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Solution

The fourth proportional to 307,380, 424,534.32 and 206,603.04 is: 285,347.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,380 : 424,534.32 = 206,603.04 : x
  2. Step 2: Convert to fraction form
    307,380/424,534.32 = 206,603.04/x
  3. Step 3: Cross multiply
    307,380x = 424,534.32 × 206,603.04
  4. Step 4: Simplify right side
    307,380x = 87,710,081,096.33
  5. Step 5: Solve for x
    x = 87,710,081,096.33/307,380
  6. Step 6: Final answer
    x = 285,347.39

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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.