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Finding the Fourth Proportional to 253,860.71, 380,692.64 and 135,467.46

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Solution

The fourth proportional to 253,860.71, 380,692.64 and 135,467.46 is: 203,148.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,860.71 : 380,692.64 = 135,467.46 : x
  2. Step 2: Convert to fraction form
    253,860.71/380,692.64 = 135,467.46/x
  3. Step 3: Cross multiply
    253,860.71x = 380,692.64 × 135,467.46
  4. Step 4: Simplify right side
    253,860.71x = 51,571,465,320.16
  5. Step 5: Solve for x
    x = 51,571,465,320.16/253,860.71
  6. Step 6: Final answer
    x = 203,148.67

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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.