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Finding the Fourth Proportional to 340,734.40, 511,101.60 and 207,874.15

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Solution

The fourth proportional to 340,734.40, 511,101.60 and 207,874.15 is: 311,811.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,734.40 : 511,101.60 = 207,874.15 : x
  2. Step 2: Convert to fraction form
    340,734.40/511,101.60 = 207,874.15/x
  3. Step 3: Cross multiply
    340,734.40x = 511,101.60 × 207,874.15
  4. Step 4: Simplify right side
    340,734.40x = 106,244,810,663.64
  5. Step 5: Solve for x
    x = 106,244,810,663.64/340,734.40
  6. Step 6: Final answer
    x = 311,811.23

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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.