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Finding the Fourth Proportional to 307,408.85, 424,300.28 and 209,454.14

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Solution

The fourth proportional to 307,408.85, 424,300.28 and 209,454.14 is: 289,098.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,408.85 : 424,300.28 = 209,454.14 : x
  2. Step 2: Convert to fraction form
    307,408.85/424,300.28 = 209,454.14/x
  3. Step 3: Cross multiply
    307,408.85x = 424,300.28 × 209,454.14
  4. Step 4: Simplify right side
    307,408.85x = 88,871,449,201.89
  5. Step 5: Solve for x
    x = 88,871,449,201.89/307,408.85
  6. Step 6: Final answer
    x = 289,098.54

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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.