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Finding the Fourth Proportional to 340,147.90, 509,784.45 and 206,886.70

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Solution

The fourth proportional to 340,147.90, 509,784.45 and 206,886.70 is: 310,064.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,147.90 : 509,784.45 = 206,886.70 : x
  2. Step 2: Convert to fraction form
    340,147.90/509,784.45 = 206,886.70/x
  3. Step 3: Cross multiply
    340,147.90x = 509,784.45 × 206,886.70
  4. Step 4: Simplify right side
    340,147.90x = 105,467,622,571.82
  5. Step 5: Solve for x
    x = 105,467,622,571.82/340,147.90
  6. Step 6: Final answer
    x = 310,064.01

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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.