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Finding the Fourth Proportional to 408,873.60, 613,091.70 and 171,948.60

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Solution

The fourth proportional to 408,873.60, 613,091.70 and 171,948.60 is: 257,830.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,873.60 : 613,091.70 = 171,948.60 : x
  2. Step 2: Convert to fraction form
    408,873.60/613,091.70 = 171,948.60/x
  3. Step 3: Cross multiply
    408,873.60x = 613,091.70 × 171,948.60
  4. Step 4: Simplify right side
    408,873.60x = 105,420,259,486.62
  5. Step 5: Solve for x
    x = 105,420,259,486.62/408,873.60
  6. Step 6: Final answer
    x = 257,830.93

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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.