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Finding the Fourth Proportional to 256,482.48, 384,723.60 and 69,493.98

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Solution

The fourth proportional to 256,482.48, 384,723.60 and 69,493.98 is: 104,240.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,482.48 : 384,723.60 = 69,493.98 : x
  2. Step 2: Convert to fraction form
    256,482.48/384,723.60 = 69,493.98/x
  3. Step 3: Cross multiply
    256,482.48x = 384,723.60 × 69,493.98
  4. Step 4: Simplify right side
    256,482.48x = 26,735,974,163.93
  5. Step 5: Solve for x
    x = 26,735,974,163.93/256,482.48
  6. Step 6: Final answer
    x = 104,240.94

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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.