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Finding the Fourth Proportional to 465,620.80, 698,431.20 and 438,064.60

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Solution

The fourth proportional to 465,620.80, 698,431.20 and 438,064.60 is: 657,096.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,620.80 : 698,431.20 = 438,064.60 : x
  2. Step 2: Convert to fraction form
    465,620.80/698,431.20 = 438,064.60/x
  3. Step 3: Cross multiply
    465,620.80x = 698,431.20 × 438,064.60
  4. Step 4: Simplify right side
    465,620.80x = 305,957,984,255.52
  5. Step 5: Solve for x
    x = 305,957,984,255.52/465,620.80
  6. Step 6: Final answer
    x = 657,096.90

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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.