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Finding the Fourth Proportional to 209,812, 289,458.40 and 138,229.60

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Solution

The fourth proportional to 209,812, 289,458.40 and 138,229.60 is: 190,702.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,812 : 289,458.40 = 138,229.60 : x
  2. Step 2: Convert to fraction form
    209,812/289,458.40 = 138,229.60/x
  3. Step 3: Cross multiply
    209,812x = 289,458.40 × 138,229.60
  4. Step 4: Simplify right side
    209,812x = 40,011,718,848.64
  5. Step 5: Solve for x
    x = 40,011,718,848.64/209,812
  6. Step 6: Final answer
    x = 190,702.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.