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Finding the Fourth Proportional to 298,564.40, 412,056.56 and 171,237.28

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Solution

The fourth proportional to 298,564.40, 412,056.56 and 171,237.28 is: 236,329.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,564.40 : 412,056.56 = 171,237.28 : x
  2. Step 2: Convert to fraction form
    298,564.40/412,056.56 = 171,237.28/x
  3. Step 3: Cross multiply
    298,564.40x = 412,056.56 × 171,237.28
  4. Step 4: Simplify right side
    298,564.40x = 70,559,444,540.56
  5. Step 5: Solve for x
    x = 70,559,444,540.56/298,564.40
  6. Step 6: Final answer
    x = 236,329.06

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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.