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Finding the Fourth Proportional to 320,053.62, 480,381.74 and 162,395.22

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Solution

The fourth proportional to 320,053.62, 480,381.74 and 162,395.22 is: 243,745.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,053.62 : 480,381.74 = 162,395.22 : x
  2. Step 2: Convert to fraction form
    320,053.62/480,381.74 = 162,395.22/x
  3. Step 3: Cross multiply
    320,053.62x = 480,381.74 × 162,395.22
  4. Step 4: Simplify right side
    320,053.62x = 78,011,698,351.28
  5. Step 5: Solve for x
    x = 78,011,698,351.28/320,053.62
  6. Step 6: Final answer
    x = 243,745.71

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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.