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Finding the Fourth Proportional to 340,087.40, 509,693.70 and 206,826.20

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Solution

The fourth proportional to 340,087.40, 509,693.70 and 206,826.20 is: 309,973.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,087.40 : 509,693.70 = 206,826.20 : x
  2. Step 2: Convert to fraction form
    340,087.40/509,693.70 = 206,826.20/x
  3. Step 3: Cross multiply
    340,087.40x = 509,693.70 × 206,826.20
  4. Step 4: Simplify right side
    340,087.40x = 105,418,011,134.94
  5. Step 5: Solve for x
    x = 105,418,011,134.94/340,087.40
  6. Step 6: Final answer
    x = 309,973.29

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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.