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Finding the Fourth Proportional to 305,843.85, 458,765.78 and 293,596.65

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Solution

The fourth proportional to 305,843.85, 458,765.78 and 293,596.65 is: 440,394.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,843.85 : 458,765.78 = 293,596.65 : x
  2. Step 2: Convert to fraction form
    305,843.85/458,765.78 = 293,596.65/x
  3. Step 3: Cross multiply
    305,843.85x = 458,765.78 × 293,596.65
  4. Step 4: Simplify right side
    305,843.85x = 134,692,094,674.65
  5. Step 5: Solve for x
    x = 134,692,094,674.65/305,843.85
  6. Step 6: Final answer
    x = 440,394.98

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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.