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Finding the Fourth Proportional to 405,536.48, 608,403.84 and 285,826.88

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Solution

The fourth proportional to 405,536.48, 608,403.84 and 285,826.88 is: 428,810.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,536.48 : 608,403.84 = 285,826.88 : x
  2. Step 2: Convert to fraction form
    405,536.48/608,403.84 = 285,826.88/x
  3. Step 3: Cross multiply
    405,536.48x = 608,403.84 × 285,826.88
  4. Step 4: Simplify right side
    405,536.48x = 173,898,171,367.22
  5. Step 5: Solve for x
    x = 173,898,171,367.22/405,536.48
  6. Step 6: Final answer
    x = 428,810.18

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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.