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Finding the Fourth Proportional to 465,408, 698,112 and 149,896.80

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Solution

The fourth proportional to 465,408, 698,112 and 149,896.80 is: 224,845.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,408 : 698,112 = 149,896.80 : x
  2. Step 2: Convert to fraction form
    465,408/698,112 = 149,896.80/x
  3. Step 3: Cross multiply
    465,408x = 698,112 × 149,896.80
  4. Step 4: Simplify right side
    465,408x = 104,644,754,841.60
  5. Step 5: Solve for x
    x = 104,644,754,841.60/465,408
  6. Step 6: Final answer
    x = 224,845.20

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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.