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Finding the Fourth Proportional to 489,905.20, 734,904 and 190,408.72

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Solution

The fourth proportional to 489,905.20, 734,904 and 190,408.72 is: 285,631.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,905.20 : 734,904 = 190,408.72 : x
  2. Step 2: Convert to fraction form
    489,905.20/734,904 = 190,408.72/x
  3. Step 3: Cross multiply
    489,905.20x = 734,904 × 190,408.72
  4. Step 4: Simplify right side
    489,905.20x = 139,932,129,962.88
  5. Step 5: Solve for x
    x = 139,932,129,962.88/489,905.20
  6. Step 6: Final answer
    x = 285,631.04

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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.