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Finding the Fourth Proportional to 384,846.80, 531,094.60 and 215,091.92

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Solution

The fourth proportional to 384,846.80, 531,094.60 and 215,091.92 is: 296,830.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,846.80 : 531,094.60 = 215,091.92 : x
  2. Step 2: Convert to fraction form
    384,846.80/531,094.60 = 215,091.92/x
  3. Step 3: Cross multiply
    384,846.80x = 531,094.60 × 215,091.92
  4. Step 4: Simplify right side
    384,846.80x = 114,234,157,215.63
  5. Step 5: Solve for x
    x = 114,234,157,215.63/384,846.80
  6. Step 6: Final answer
    x = 296,830.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.