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Finding the Fourth Proportional to 405,399.84, 608,198.86 and 285,690.30

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Solution

The fourth proportional to 405,399.84, 608,198.86 and 285,690.30 is: 428,605.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,399.84 : 608,198.86 = 285,690.30 : x
  2. Step 2: Convert to fraction form
    405,399.84/608,198.86 = 285,690.30/x
  3. Step 3: Cross multiply
    405,399.84x = 608,198.86 × 285,690.30
  4. Step 4: Simplify right side
    405,399.84x = 173,756,514,773.06
  5. Step 5: Solve for x
    x = 173,756,514,773.06/405,399.84
  6. Step 6: Final answer
    x = 428,605.29

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1.5x scale

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.