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Finding the Fourth Proportional to 642,318, 886,327.26 and 355,766.40

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Solution

The fourth proportional to 642,318, 886,327.26 and 355,766.40 is: 490,917.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,318 : 886,327.26 = 355,766.40 : x
  2. Step 2: Convert to fraction form
    642,318/886,327.26 = 355,766.40/x
  3. Step 3: Cross multiply
    642,318x = 886,327.26 × 355,766.40
  4. Step 4: Simplify right side
    642,318x = 315,325,458,512.06
  5. Step 5: Solve for x
    x = 315,325,458,512.06/642,318
  6. Step 6: Final answer
    x = 490,917.99

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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.