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Finding the Fourth Proportional to 405,424.40, 608,309.40 and 255,779.60

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Solution

The fourth proportional to 405,424.40, 608,309.40 and 255,779.60 is: 383,778.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,424.40 : 608,309.40 = 255,779.60 : x
  2. Step 2: Convert to fraction form
    405,424.40/608,309.40 = 255,779.60/x
  3. Step 3: Cross multiply
    405,424.40x = 608,309.40 × 255,779.60
  4. Step 4: Simplify right side
    405,424.40x = 155,593,135,008.24
  5. Step 5: Solve for x
    x = 155,593,135,008.24/405,424.40
  6. Step 6: Final answer
    x = 383,778.42

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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.