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Finding the Fourth Proportional to 224,321.76, 309,597.60 and 143,840.16

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Solution

The fourth proportional to 224,321.76, 309,597.60 and 143,840.16 is: 198,520.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,321.76 : 309,597.60 = 143,840.16 : x
  2. Step 2: Convert to fraction form
    224,321.76/309,597.60 = 143,840.16/x
  3. Step 3: Cross multiply
    224,321.76x = 309,597.60 × 143,840.16
  4. Step 4: Simplify right side
    224,321.76x = 44,532,568,319.62
  5. Step 5: Solve for x
    x = 44,532,568,319.62/224,321.76
  6. Step 6: Final answer
    x = 198,520.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.