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Finding the Fourth Proportional to 298,656, 412,145.28 and 164,528.64

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Solution

The fourth proportional to 298,656, 412,145.28 and 164,528.64 is: 227,049.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,656 : 412,145.28 = 164,528.64 : x
  2. Step 2: Convert to fraction form
    298,656/412,145.28 = 164,528.64/x
  3. Step 3: Cross multiply
    298,656x = 412,145.28 × 164,528.64
  4. Step 4: Simplify right side
    298,656x = 67,809,702,400.82
  5. Step 5: Solve for x
    x = 67,809,702,400.82/298,656
  6. Step 6: Final answer
    x = 227,049.52

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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.