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Finding the Fourth Proportional to 256,403.91, 384,561.45 and 69,371.67

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Solution

The fourth proportional to 256,403.91, 384,561.45 and 69,371.67 is: 104,045.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,403.91 : 384,561.45 = 69,371.67 : x
  2. Step 2: Convert to fraction form
    256,403.91/384,561.45 = 69,371.67/x
  3. Step 3: Cross multiply
    256,403.91x = 384,561.45 × 69,371.67
  4. Step 4: Simplify right side
    256,403.91x = 26,677,670,004.12
  5. Step 5: Solve for x
    x = 26,677,670,004.12/256,403.91
  6. Step 6: Final answer
    x = 104,045.49

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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.