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Finding the Fourth Proportional to 438,832, 658,250.16 and 106,408

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Solution

The fourth proportional to 438,832, 658,250.16 and 106,408 is: 159,612.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,832 : 658,250.16 = 106,408 : x
  2. Step 2: Convert to fraction form
    438,832/658,250.16 = 106,408/x
  3. Step 3: Cross multiply
    438,832x = 658,250.16 × 106,408
  4. Step 4: Simplify right side
    438,832x = 70,043,083,025.28
  5. Step 5: Solve for x
    x = 70,043,083,025.28/438,832
  6. Step 6: Final answer
    x = 159,612.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.