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Finding the Fourth Proportional to 397,203.60, 595,805.40 and 219,619.20

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Solution

The fourth proportional to 397,203.60, 595,805.40 and 219,619.20 is: 329,428.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,203.60 : 595,805.40 = 219,619.20 : x
  2. Step 2: Convert to fraction form
    397,203.60/595,805.40 = 219,619.20/x
  3. Step 3: Cross multiply
    397,203.60x = 595,805.40 × 219,619.20
  4. Step 4: Simplify right side
    397,203.60x = 130,850,305,303.68
  5. Step 5: Solve for x
    x = 130,850,305,303.68/397,203.60
  6. Step 6: Final answer
    x = 329,428.80

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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.