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Finding the Fourth Proportional to 384,478.72, 576,355.20 and 184,912

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Solution

The fourth proportional to 384,478.72, 576,355.20 and 184,912 is: 277,193.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,478.72 : 576,355.20 = 184,912 : x
  2. Step 2: Convert to fraction form
    384,478.72/576,355.20 = 184,912/x
  3. Step 3: Cross multiply
    384,478.72x = 576,355.20 × 184,912
  4. Step 4: Simplify right side
    384,478.72x = 106,574,992,742.40
  5. Step 5: Solve for x
    x = 106,574,992,742.40/384,478.72
  6. Step 6: Final answer
    x = 277,193.48

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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.