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Finding the Fourth Proportional to 509,162.19, 763,450.61 and 209,849.37

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Solution

The fourth proportional to 509,162.19, 763,450.61 and 209,849.37 is: 314,653.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,162.19 : 763,450.61 = 209,849.37 : x
  2. Step 2: Convert to fraction form
    509,162.19/763,450.61 = 209,849.37/x
  3. Step 3: Cross multiply
    509,162.19x = 763,450.61 × 209,849.37
  4. Step 4: Simplify right side
    509,162.19x = 160,209,628,485.37
  5. Step 5: Solve for x
    x = 160,209,628,485.37/509,162.19
  6. Step 6: Final answer
    x = 314,653.43

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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.