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Finding the Fourth Proportional to 256,477.94, 353,982.60 and 173,654.36

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Solution

The fourth proportional to 256,477.94, 353,982.60 and 173,654.36 is: 239,672.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,477.94 : 353,982.60 = 173,654.36 : x
  2. Step 2: Convert to fraction form
    256,477.94/353,982.60 = 173,654.36/x
  3. Step 3: Cross multiply
    256,477.94x = 353,982.60 × 173,654.36
  4. Step 4: Simplify right side
    256,477.94x = 61,470,620,084.22
  5. Step 5: Solve for x
    x = 61,470,620,084.22/256,477.94
  6. Step 6: Final answer
    x = 239,672.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.