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Finding the Fourth Proportional to 384,906.78, 577,383.80 and 148,250.16

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Solution

The fourth proportional to 384,906.78, 577,383.80 and 148,250.16 is: 222,384.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,906.78 : 577,383.80 = 148,250.16 : x
  2. Step 2: Convert to fraction form
    384,906.78/577,383.80 = 148,250.16/x
  3. Step 3: Cross multiply
    384,906.78x = 577,383.80 × 148,250.16
  4. Step 4: Simplify right side
    384,906.78x = 85,597,239,990.16
  5. Step 5: Solve for x
    x = 85,597,239,990.16/384,906.78
  6. Step 6: Final answer
    x = 222,384.34

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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.