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Finding the Fourth Proportional to 298,646, 412,125.74 and 162,678.36

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Solution

The fourth proportional to 298,646, 412,125.74 and 162,678.36 is: 224,493.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,646 : 412,125.74 = 162,678.36 : x
  2. Step 2: Convert to fraction form
    298,646/412,125.74 = 162,678.36/x
  3. Step 3: Cross multiply
    298,646x = 412,125.74 × 162,678.36
  4. Step 4: Simplify right side
    298,646x = 67,043,939,496.99
  5. Step 5: Solve for x
    x = 67,043,939,496.99/298,646
  6. Step 6: Final answer
    x = 224,493.01

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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.