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Finding the Fourth Proportional to 209,261.20, 313,891.80 and 138,912.40

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Solution

The fourth proportional to 209,261.20, 313,891.80 and 138,912.40 is: 208,368.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,261.20 : 313,891.80 = 138,912.40 : x
  2. Step 2: Convert to fraction form
    209,261.20/313,891.80 = 138,912.40/x
  3. Step 3: Cross multiply
    209,261.20x = 313,891.80 × 138,912.40
  4. Step 4: Simplify right side
    209,261.20x = 43,603,463,278.32
  5. Step 5: Solve for x
    x = 43,603,463,278.32/209,261.20
  6. Step 6: Final answer
    x = 208,368.60

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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.