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Finding the Fourth Proportional to 256,477.46, 384,716.12 and 69,488.96

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Solution

The fourth proportional to 256,477.46, 384,716.12 and 69,488.96 is: 104,233.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,477.46 : 384,716.12 = 69,488.96 : x
  2. Step 2: Convert to fraction form
    256,477.46/384,716.12 = 69,488.96/x
  3. Step 3: Cross multiply
    256,477.46x = 384,716.12 × 69,488.96
  4. Step 4: Simplify right side
    256,477.46x = 26,733,520,803.01
  5. Step 5: Solve for x
    x = 26,733,520,803.01/256,477.46
  6. Step 6: Final answer
    x = 104,233.41

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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.