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Finding the Fourth Proportional to 408,486.16, 612,355.74 and 171,845.56

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Solution

The fourth proportional to 408,486.16, 612,355.74 and 171,845.56 is: 257,611.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,486.16 : 612,355.74 = 171,845.56 : x
  2. Step 2: Convert to fraction form
    408,486.16/612,355.74 = 171,845.56/x
  3. Step 3: Cross multiply
    408,486.16x = 612,355.74 × 171,845.56
  4. Step 4: Simplify right side
    408,486.16x = 105,230,615,059.51
  5. Step 5: Solve for x
    x = 105,230,615,059.51/408,486.16
  6. Step 6: Final answer
    x = 257,611.21

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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.