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Finding the Fourth Proportional to 489,775.32, 734,523.90 and 190,191.96

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Solution

The fourth proportional to 489,775.32, 734,523.90 and 190,191.96 is: 285,233.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,775.32 : 734,523.90 = 190,191.96 : x
  2. Step 2: Convert to fraction form
    489,775.32/734,523.90 = 190,191.96/x
  3. Step 3: Cross multiply
    489,775.32x = 734,523.90 × 190,191.96
  4. Step 4: Simplify right side
    489,775.32x = 139,700,540,207.84
  5. Step 5: Solve for x
    x = 139,700,540,207.84/489,775.32
  6. Step 6: Final answer
    x = 285,233.93

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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.