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Finding the Fourth Proportional to 320,211.42, 480,299.81 and 162,435.78

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Solution

The fourth proportional to 320,211.42, 480,299.81 and 162,435.78 is: 243,644.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,211.42 : 480,299.81 = 162,435.78 : x
  2. Step 2: Convert to fraction form
    320,211.42/480,299.81 = 162,435.78/x
  3. Step 3: Cross multiply
    320,211.42x = 480,299.81 × 162,435.78
  4. Step 4: Simplify right side
    320,211.42x = 78,017,874,271.20
  5. Step 5: Solve for x
    x = 78,017,874,271.20/320,211.42
  6. Step 6: Final answer
    x = 243,644.88

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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.