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Finding the Fourth Proportional to 438,885.75, 658,328.90 and 106,461.75

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Solution

The fourth proportional to 438,885.75, 658,328.90 and 106,461.75 is: 159,692.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,885.75 : 658,328.90 = 106,461.75 : x
  2. Step 2: Convert to fraction form
    438,885.75/658,328.90 = 106,461.75/x
  3. Step 3: Cross multiply
    438,885.75x = 658,328.90 × 106,461.75
  4. Step 4: Simplify right side
    438,885.75x = 70,086,846,237.27
  5. Step 5: Solve for x
    x = 70,086,846,237.27/438,885.75
  6. Step 6: Final answer
    x = 159,692.69

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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.