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Finding the Fourth Proportional to 438,798, 658,197 and 106,374

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Solution

The fourth proportional to 438,798, 658,197 and 106,374 is: 159,561

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,798 : 658,197 = 106,374 : x
  2. Step 2: Convert to fraction form
    438,798/658,197 = 106,374/x
  3. Step 3: Cross multiply
    438,798x = 658,197 × 106,374
  4. Step 4: Simplify right side
    438,798x = 70,015,047,678
  5. Step 5: Solve for x
    x = 70,015,047,678/438,798
  6. Step 6: Final answer
    x = 159,561

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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.