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Finding the Fourth Proportional to 279,830.40, 419,745.60 and 153,859.20

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Solution

The fourth proportional to 279,830.40, 419,745.60 and 153,859.20 is: 230,788.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,830.40 : 419,745.60 = 153,859.20 : x
  2. Step 2: Convert to fraction form
    279,830.40/419,745.60 = 153,859.20/x
  3. Step 3: Cross multiply
    279,830.40x = 419,745.60 × 153,859.20
  4. Step 4: Simplify right side
    279,830.40x = 64,581,722,219.52
  5. Step 5: Solve for x
    x = 64,581,722,219.52/279,830.40
  6. Step 6: Final answer
    x = 230,788.80

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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.