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Finding the Fourth Proportional to 270,670.98, 405,821.94 and 137,294.05

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Solution

The fourth proportional to 270,670.98, 405,821.94 and 137,294.05 is: 205,847.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,670.98 : 405,821.94 = 137,294.05 : x
  2. Step 2: Convert to fraction form
    270,670.98/405,821.94 = 137,294.05/x
  3. Step 3: Cross multiply
    270,670.98x = 405,821.94 × 137,294.05
  4. Step 4: Simplify right side
    270,670.98x = 55,716,937,721.46
  5. Step 5: Solve for x
    x = 55,716,937,721.46/270,670.98
  6. Step 6: Final answer
    x = 205,847.47

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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.