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Finding the Fourth Proportional to 408,965.60, 613,448.40 and 259,374.80

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Solution

The fourth proportional to 408,965.60, 613,448.40 and 259,374.80 is: 389,062.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,965.60 : 613,448.40 = 259,374.80 : x
  2. Step 2: Convert to fraction form
    408,965.60/613,448.40 = 259,374.80/x
  3. Step 3: Cross multiply
    408,965.60x = 613,448.40 × 259,374.80
  4. Step 4: Simplify right side
    408,965.60x = 159,113,056,060.32
  5. Step 5: Solve for x
    x = 159,113,056,060.32/408,965.60
  6. Step 6: Final answer
    x = 389,062.20

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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.