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Finding the Fourth Proportional to 354,264, 488,884.32 and 203,409.60

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Solution

The fourth proportional to 354,264, 488,884.32 and 203,409.60 is: 280,705.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,264 : 488,884.32 = 203,409.60 : x
  2. Step 2: Convert to fraction form
    354,264/488,884.32 = 203,409.60/x
  3. Step 3: Cross multiply
    354,264x = 488,884.32 × 203,409.60
  4. Step 4: Simplify right side
    354,264x = 99,443,763,977.47
  5. Step 5: Solve for x
    x = 99,443,763,977.47/354,264
  6. Step 6: Final answer
    x = 280,705.25

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