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Finding the Fourth Proportional to 438,738, 658,110.60 and 106,314

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Solution

The fourth proportional to 438,738, 658,110.60 and 106,314 is: 159,471.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,738 : 658,110.60 = 106,314 : x
  2. Step 2: Convert to fraction form
    438,738/658,110.60 = 106,314/x
  3. Step 3: Cross multiply
    438,738x = 658,110.60 × 106,314
  4. Step 4: Simplify right side
    438,738x = 69,966,370,328.40
  5. Step 5: Solve for x
    x = 69,966,370,328.40/438,738
  6. Step 6: Final answer
    x = 159,471.87

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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.