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Finding the Fourth Proportional to 209,187.58, 314,041.38 and 208,228.54

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Solution

The fourth proportional to 209,187.58, 314,041.38 and 208,228.54 is: 312,601.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,187.58 : 314,041.38 = 208,228.54 : x
  2. Step 2: Convert to fraction form
    209,187.58/314,041.38 = 208,228.54/x
  3. Step 3: Cross multiply
    209,187.58x = 314,041.38 × 208,228.54
  4. Step 4: Simplify right side
    209,187.58x = 65,392,378,056.99
  5. Step 5: Solve for x
    x = 65,392,378,056.99/209,187.58
  6. Step 6: Final answer
    x = 312,601.63

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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.