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Finding the Fourth Proportional to 342,785.80, 514,094.82 and 143,107.84

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Solution

The fourth proportional to 342,785.80, 514,094.82 and 143,107.84 is: 214,626.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,785.80 : 514,094.82 = 143,107.84 : x
  2. Step 2: Convert to fraction form
    342,785.80/514,094.82 = 143,107.84/x
  3. Step 3: Cross multiply
    342,785.80x = 514,094.82 × 143,107.84
  4. Step 4: Simplify right side
    342,785.80x = 73,570,999,245.39
  5. Step 5: Solve for x
    x = 73,570,999,245.39/342,785.80
  6. Step 6: Final answer
    x = 214,626.74

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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.