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Finding the Fourth Proportional to 208,364.49, 312,546.74 and 138,380.49

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Solution

The fourth proportional to 208,364.49, 312,546.74 and 138,380.49 is: 207,570.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,364.49 : 312,546.74 = 138,380.49 : x
  2. Step 2: Convert to fraction form
    208,364.49/312,546.74 = 138,380.49/x
  3. Step 3: Cross multiply
    208,364.49x = 312,546.74 × 138,380.49
  4. Step 4: Simplify right side
    208,364.49x = 43,250,370,337.20
  5. Step 5: Solve for x
    x = 43,250,370,337.20/208,364.49
  6. Step 6: Final answer
    x = 207,570.74

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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.