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Finding the Fourth Proportional to 340,680.60, 511,020.90 and 214,709.40

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Solution

The fourth proportional to 340,680.60, 511,020.90 and 214,709.40 is: 322,064.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,680.60 : 511,020.90 = 214,709.40 : x
  2. Step 2: Convert to fraction form
    340,680.60/511,020.90 = 214,709.40/x
  3. Step 3: Cross multiply
    340,680.60x = 511,020.90 × 214,709.40
  4. Step 4: Simplify right side
    340,680.60x = 109,720,990,826.46
  5. Step 5: Solve for x
    x = 109,720,990,826.46/340,680.60
  6. Step 6: Final answer
    x = 322,064.10

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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.