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Finding the Fourth Proportional to 340,680.30, 511,020.45 and 214,709.10

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Solution

The fourth proportional to 340,680.30, 511,020.45 and 214,709.10 is: 322,063.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,680.30 : 511,020.45 = 214,709.10 : x
  2. Step 2: Convert to fraction form
    340,680.30/511,020.45 = 214,709.10/x
  3. Step 3: Cross multiply
    340,680.30x = 511,020.45 × 214,709.10
  4. Step 4: Simplify right side
    340,680.30x = 109,720,740,901.10
  5. Step 5: Solve for x
    x = 109,720,740,901.10/340,680.30
  6. Step 6: Final answer
    x = 322,063.65

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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.