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Finding the Fourth Proportional to 438,804, 658,206 and 106,380

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Solution

The fourth proportional to 438,804, 658,206 and 106,380 is: 159,570

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,804 : 658,206 = 106,380 : x
  2. Step 2: Convert to fraction form
    438,804/658,206 = 106,380/x
  3. Step 3: Cross multiply
    438,804x = 658,206 × 106,380
  4. Step 4: Simplify right side
    438,804x = 70,019,954,280
  5. Step 5: Solve for x
    x = 70,019,954,280/438,804
  6. Step 6: Final answer
    x = 159,570

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