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Finding the Fourth Proportional to 213,905.60, 320,858.40 and 202,500.80

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Solution

The fourth proportional to 213,905.60, 320,858.40 and 202,500.80 is: 303,751.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,905.60 : 320,858.40 = 202,500.80 : x
  2. Step 2: Convert to fraction form
    213,905.60/320,858.40 = 202,500.80/x
  3. Step 3: Cross multiply
    213,905.60x = 320,858.40 × 202,500.80
  4. Step 4: Simplify right side
    213,905.60x = 64,974,082,686.72
  5. Step 5: Solve for x
    x = 64,974,082,686.72/213,905.60
  6. Step 6: Final answer
    x = 303,751.20

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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.