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Finding the Fourth Proportional to 348,120, 480,408.48 and 189,144

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Solution

The fourth proportional to 348,120, 480,408.48 and 189,144 is: 261,020.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,120 : 480,408.48 = 189,144 : x
  2. Step 2: Convert to fraction form
    348,120/480,408.48 = 189,144/x
  3. Step 3: Cross multiply
    348,120x = 480,408.48 × 189,144
  4. Step 4: Simplify right side
    348,120x = 90,866,381,541.12
  5. Step 5: Solve for x
    x = 90,866,381,541.12/348,120
  6. Step 6: Final answer
    x = 261,020.28

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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.