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Finding the Fourth Proportional to 405,275.20, 608,085.60 and 194,804.80

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Solution

The fourth proportional to 405,275.20, 608,085.60 and 194,804.80 is: 292,290.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,275.20 : 608,085.60 = 194,804.80 : x
  2. Step 2: Convert to fraction form
    405,275.20/608,085.60 = 194,804.80/x
  3. Step 3: Cross multiply
    405,275.20x = 608,085.60 × 194,804.80
  4. Step 4: Simplify right side
    405,275.20x = 118,457,993,690.88
  5. Step 5: Solve for x
    x = 118,457,993,690.88/405,275.20
  6. Step 6: Final answer
    x = 292,290.26

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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.