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Finding the Fourth Proportional to 209,519.64, 314,277.78 and 138,759

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Solution

The fourth proportional to 209,519.64, 314,277.78 and 138,759 is: 208,137.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,519.64 : 314,277.78 = 138,759 : x
  2. Step 2: Convert to fraction form
    209,519.64/314,277.78 = 138,759/x
  3. Step 3: Cross multiply
    209,519.64x = 314,277.78 × 138,759
  4. Step 4: Simplify right side
    209,519.64x = 43,608,870,475.02
  5. Step 5: Solve for x
    x = 43,608,870,475.02/209,519.64
  6. Step 6: Final answer
    x = 208,137.39

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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.