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Finding the Fourth Proportional to 384,408.45, 576,612.68 and 197,784.45

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Solution

The fourth proportional to 384,408.45, 576,612.68 and 197,784.45 is: 296,676.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,408.45 : 576,612.68 = 197,784.45 : x
  2. Step 2: Convert to fraction form
    384,408.45/576,612.68 = 197,784.45/x
  3. Step 3: Cross multiply
    384,408.45x = 576,612.68 × 197,784.45
  4. Step 4: Simplify right side
    384,408.45x = 114,045,020,787.90
  5. Step 5: Solve for x
    x = 114,045,020,787.90/384,408.45
  6. Step 6: Final answer
    x = 296,676.68

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Similar ratio
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1.5x scale

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.