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Finding the Fourth Proportional to 405,558.65, 608,339.34 and 380,896.12

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Solution

The fourth proportional to 405,558.65, 608,339.34 and 380,896.12 is: 571,345.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,558.65 : 608,339.34 = 380,896.12 : x
  2. Step 2: Convert to fraction form
    405,558.65/608,339.34 = 380,896.12/x
  3. Step 3: Cross multiply
    405,558.65x = 608,339.34 × 380,896.12
  4. Step 4: Simplify right side
    405,558.65x = 231,714,093,938.52
  5. Step 5: Solve for x
    x = 231,714,093,938.52/405,558.65
  6. Step 6: Final answer
    x = 571,345.47

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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.