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Finding the Fourth Proportional to 253,991.04, 380,469.76 and 164,974.72

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Solution

The fourth proportional to 253,991.04, 380,469.76 and 164,974.72 is: 247,126.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,991.04 : 380,469.76 = 164,974.72 : x
  2. Step 2: Convert to fraction form
    253,991.04/380,469.76 = 164,974.72/x
  3. Step 3: Cross multiply
    253,991.04x = 380,469.76 × 164,974.72
  4. Step 4: Simplify right side
    253,991.04x = 62,767,892,124.47
  5. Step 5: Solve for x
    x = 62,767,892,124.47/253,991.04
  6. Step 6: Final answer
    x = 247,126.40

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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.