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Finding the Fourth Proportional to 307,546.88, 424,429.44 and 173,408

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Solution

The fourth proportional to 307,546.88, 424,429.44 and 173,408 is: 239,311.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,546.88 : 424,429.44 = 173,408 : x
  2. Step 2: Convert to fraction form
    307,546.88/424,429.44 = 173,408/x
  3. Step 3: Cross multiply
    307,546.88x = 424,429.44 × 173,408
  4. Step 4: Simplify right side
    307,546.88x = 73,599,460,331.52
  5. Step 5: Solve for x
    x = 73,599,460,331.52/307,546.88
  6. Step 6: Final answer
    x = 239,311.35

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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.