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Finding the Fourth Proportional to 384,023.37, 529,731.90 and 222,857.87

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Solution

The fourth proportional to 384,023.37, 529,731.90 and 222,857.87 is: 307,415.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,023.37 : 529,731.90 = 222,857.87 : x
  2. Step 2: Convert to fraction form
    384,023.37/529,731.90 = 222,857.87/x
  3. Step 3: Cross multiply
    384,023.37x = 529,731.90 × 222,857.87
  4. Step 4: Simplify right side
    384,023.37x = 118,054,920,256.39
  5. Step 5: Solve for x
    x = 118,054,920,256.39/384,023.37
  6. Step 6: Final answer
    x = 307,415.98

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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.