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Finding the Fourth Proportional to 283,263.57, 425,157.84 and 143,120.61

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Solution

The fourth proportional to 283,263.57, 425,157.84 and 143,120.61 is: 214,813.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,263.57 : 425,157.84 = 143,120.61 : x
  2. Step 2: Convert to fraction form
    283,263.57/425,157.84 = 143,120.61/x
  3. Step 3: Cross multiply
    283,263.57x = 425,157.84 × 143,120.61
  4. Step 4: Simplify right side
    283,263.57x = 60,848,849,407.08
  5. Step 5: Solve for x
    x = 60,848,849,407.08/283,263.57
  6. Step 6: Final answer
    x = 214,813.54

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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.