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Finding the Fourth Proportional to 340,084.40, 509,689.20 and 206,823.20

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Solution

The fourth proportional to 340,084.40, 509,689.20 and 206,823.20 is: 309,968.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,084.40 : 509,689.20 = 206,823.20 : x
  2. Step 2: Convert to fraction form
    340,084.40/509,689.20 = 206,823.20/x
  3. Step 3: Cross multiply
    340,084.40x = 509,689.20 × 206,823.20
  4. Step 4: Simplify right side
    340,084.40x = 105,415,551,349.44
  5. Step 5: Solve for x
    x = 105,415,551,349.44/340,084.40
  6. Step 6: Final answer
    x = 309,968.79

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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.