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Finding the Fourth Proportional to 320,213.67, 480,303.18 and 162,438.03

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Solution

The fourth proportional to 320,213.67, 480,303.18 and 162,438.03 is: 243,648.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,213.67 : 480,303.18 = 162,438.03 : x
  2. Step 2: Convert to fraction form
    320,213.67/480,303.18 = 162,438.03/x
  3. Step 3: Cross multiply
    320,213.67x = 480,303.18 × 162,438.03
  4. Step 4: Simplify right side
    320,213.67x = 78,019,502,361.94
  5. Step 5: Solve for x
    x = 78,019,502,361.94/320,213.67
  6. Step 6: Final answer
    x = 243,648.26

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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.