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Finding the Fourth Proportional to 209,199.60, 314,059.36 and 208,240.56

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Solution

The fourth proportional to 209,199.60, 314,059.36 and 208,240.56 is: 312,619.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,199.60 : 314,059.36 = 208,240.56 : x
  2. Step 2: Convert to fraction form
    209,199.60/314,059.36 = 208,240.56/x
  3. Step 3: Cross multiply
    209,199.60x = 314,059.36 × 208,240.56
  4. Step 4: Simplify right side
    209,199.60x = 65,399,896,999.64
  5. Step 5: Solve for x
    x = 65,399,896,999.64/209,199.60
  6. Step 6: Final answer
    x = 312,619.61

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1.5x scale

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.