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Finding the Fourth Proportional to 298,952.31, 412,570.61 and 171,636.11

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Solution

The fourth proportional to 298,952.31, 412,570.61 and 171,636.11 is: 236,867.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,952.31 : 412,570.61 = 171,636.11 : x
  2. Step 2: Convert to fraction form
    298,952.31/412,570.61 = 171,636.11/x
  3. Step 3: Cross multiply
    298,952.31x = 412,570.61 × 171,636.11
  4. Step 4: Simplify right side
    298,952.31x = 70,812,014,600.73
  5. Step 5: Solve for x
    x = 70,812,014,600.73/298,952.31
  6. Step 6: Final answer
    x = 236,867.26

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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.