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Finding the Fourth Proportional to 298,629.12, 412,108.20 and 164,493.12

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Solution

The fourth proportional to 298,629.12, 412,108.20 and 164,493.12 is: 227,000.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,629.12 : 412,108.20 = 164,493.12 : x
  2. Step 2: Convert to fraction form
    298,629.12/412,108.20 = 164,493.12/x
  3. Step 3: Cross multiply
    298,629.12x = 412,108.20 × 164,493.12
  4. Step 4: Simplify right side
    298,629.12x = 67,788,963,595.58
  5. Step 5: Solve for x
    x = 67,788,963,595.58/298,629.12
  6. Step 6: Final answer
    x = 227,000.51

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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.