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Finding the Fourth Proportional to 340,682.30, 511,023.45 and 214,711.10

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Solution

The fourth proportional to 340,682.30, 511,023.45 and 214,711.10 is: 322,066.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,682.30 : 511,023.45 = 214,711.10 : x
  2. Step 2: Convert to fraction form
    340,682.30/511,023.45 = 214,711.10/x
  3. Step 3: Cross multiply
    340,682.30x = 511,023.45 × 214,711.10
  4. Step 4: Simplify right side
    340,682.30x = 109,722,407,075.30
  5. Step 5: Solve for x
    x = 109,722,407,075.30/340,682.30
  6. Step 6: Final answer
    x = 322,066.65

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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.