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Finding the Fourth Proportional to 303,427.20, 455,140.80 and 214,780.80

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Solution

The fourth proportional to 303,427.20, 455,140.80 and 214,780.80 is: 322,171.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,427.20 : 455,140.80 = 214,780.80 : x
  2. Step 2: Convert to fraction form
    303,427.20/455,140.80 = 214,780.80/x
  3. Step 3: Cross multiply
    303,427.20x = 455,140.80 × 214,780.80
  4. Step 4: Simplify right side
    303,427.20x = 97,755,505,136.64
  5. Step 5: Solve for x
    x = 97,755,505,136.64/303,427.20
  6. Step 6: Final answer
    x = 322,171.20

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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.