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Finding the Fourth Proportional to 443,830.56, 665,719.84 and 128,280.48

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Solution

The fourth proportional to 443,830.56, 665,719.84 and 128,280.48 is: 192,413.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,830.56 : 665,719.84 = 128,280.48 : x
  2. Step 2: Convert to fraction form
    443,830.56/665,719.84 = 128,280.48/x
  3. Step 3: Cross multiply
    443,830.56x = 665,719.84 × 128,280.48
  4. Step 4: Simplify right side
    443,830.56x = 85,398,860,620.72
  5. Step 5: Solve for x
    x = 85,398,860,620.72/443,830.56
  6. Step 6: Final answer
    x = 192,413.21

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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.