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Finding the Fourth Proportional to 379,564.72, 523,745.04 and 218,358.16

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Solution

The fourth proportional to 379,564.72, 523,745.04 and 218,358.16 is: 301,303.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,564.72 : 523,745.04 = 218,358.16 : x
  2. Step 2: Convert to fraction form
    379,564.72/523,745.04 = 218,358.16/x
  3. Step 3: Cross multiply
    379,564.72x = 523,745.04 × 218,358.16
  4. Step 4: Simplify right side
    379,564.72x = 114,364,003,243.53
  5. Step 5: Solve for x
    x = 114,364,003,243.53/379,564.72
  6. Step 6: Final answer
    x = 301,303.04

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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.