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Finding the Fourth Proportional to 290,506.85, 432,840.41 and 274,190.61

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Solution

The fourth proportional to 290,506.85, 432,840.41 and 274,190.61 is: 408,530.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,506.85 : 432,840.41 = 274,190.61 : x
  2. Step 2: Convert to fraction form
    290,506.85/432,840.41 = 274,190.61/x
  3. Step 3: Cross multiply
    290,506.85x = 432,840.41 × 274,190.61
  4. Step 4: Simplify right side
    290,506.85x = 118,680,776,736.03
  5. Step 5: Solve for x
    x = 118,680,776,736.03/290,506.85
  6. Step 6: Final answer
    x = 408,530.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.