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Finding the Fourth Proportional to 256,461.82, 384,644.41 and 69,448.70

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Solution

The fourth proportional to 256,461.82, 384,644.41 and 69,448.70 is: 104,159.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,461.82 : 384,644.41 = 69,448.70 : x
  2. Step 2: Convert to fraction form
    256,461.82/384,644.41 = 69,448.70/x
  3. Step 3: Cross multiply
    256,461.82x = 384,644.41 × 69,448.70
  4. Step 4: Simplify right side
    256,461.82x = 26,713,054,236.77
  5. Step 5: Solve for x
    x = 26,713,054,236.77/256,461.82
  6. Step 6: Final answer
    x = 104,159.97

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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.