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Finding the Fourth Proportional to 340,051.40, 509,639.70 and 206,790.20

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Solution

The fourth proportional to 340,051.40, 509,639.70 and 206,790.20 is: 309,919.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,051.40 : 509,639.70 = 206,790.20 : x
  2. Step 2: Convert to fraction form
    340,051.40/509,639.70 = 206,790.20/x
  3. Step 3: Cross multiply
    340,051.40x = 509,639.70 × 206,790.20
  4. Step 4: Simplify right side
    340,051.40x = 105,388,495,490.94
  5. Step 5: Solve for x
    x = 105,388,495,490.94/340,051.40
  6. Step 6: Final answer
    x = 309,919.31

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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.