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Finding the Fourth Proportional to 306,033.73, 421,881.44 and 213,866.87

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Solution

The fourth proportional to 306,033.73, 421,881.44 and 213,866.87 is: 294,825.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,033.73 : 421,881.44 = 213,866.87 : x
  2. Step 2: Convert to fraction form
    306,033.73/421,881.44 = 213,866.87/x
  3. Step 3: Cross multiply
    306,033.73x = 421,881.44 × 213,866.87
  4. Step 4: Simplify right side
    306,033.73x = 90,226,462,021.87
  5. Step 5: Solve for x
    x = 90,226,462,021.87/306,033.73
  6. Step 6: Final answer
    x = 294,825.22

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1.5x scale

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.