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Finding the Fourth Proportional to 340,051.90, 509,640.45 and 206,790.70

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Solution

The fourth proportional to 340,051.90, 509,640.45 and 206,790.70 is: 309,920.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,051.90 : 509,640.45 = 206,790.70 : x
  2. Step 2: Convert to fraction form
    340,051.90/509,640.45 = 206,790.70/x
  3. Step 3: Cross multiply
    340,051.90x = 509,640.45 × 206,790.70
  4. Step 4: Simplify right side
    340,051.90x = 105,388,905,403.82
  5. Step 5: Solve for x
    x = 105,388,905,403.82/340,051.90
  6. Step 6: Final answer
    x = 309,920.06

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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.