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Finding the Fourth Proportional to 298,418.94, 447,633.06 and 166,139.94

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Solution

The fourth proportional to 298,418.94, 447,633.06 and 166,139.94 is: 249,212.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,418.94 : 447,633.06 = 166,139.94 : x
  2. Step 2: Convert to fraction form
    298,418.94/447,633.06 = 166,139.94/x
  3. Step 3: Cross multiply
    298,418.94x = 447,633.06 × 166,139.94
  4. Step 4: Simplify right side
    298,418.94x = 74,369,729,730.42
  5. Step 5: Solve for x
    x = 74,369,729,730.42/298,418.94
  6. Step 6: Final answer
    x = 249,212.50

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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.