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Finding the Fourth Proportional to 310,219.86, 428,266.67 and 208,778.60

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Solution

The fourth proportional to 310,219.86, 428,266.67 and 208,778.60 is: 288,224.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,219.86 : 428,266.67 = 208,778.60 : x
  2. Step 2: Convert to fraction form
    310,219.86/428,266.67 = 208,778.60/x
  3. Step 3: Cross multiply
    310,219.86x = 428,266.67 × 208,778.60
  4. Step 4: Simplify right side
    310,219.86x = 89,412,915,789.26
  5. Step 5: Solve for x
    x = 89,412,915,789.26/310,219.86
  6. Step 6: Final answer
    x = 288,224.34

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1.5x scale

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.