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Finding the Fourth Proportional to 420,858.63, 580,033.85 and 318,639.17

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Solution

The fourth proportional to 420,858.63, 580,033.85 and 318,639.17 is: 439,153.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,858.63 : 580,033.85 = 318,639.17 : x
  2. Step 2: Convert to fraction form
    420,858.63/580,033.85 = 318,639.17/x
  3. Step 3: Cross multiply
    420,858.63x = 580,033.85 × 318,639.17
  4. Step 4: Simplify right side
    420,858.63x = 184,821,504,392.79
  5. Step 5: Solve for x
    x = 184,821,504,392.79/420,858.63
  6. Step 6: Final answer
    x = 439,153.41

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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.