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Finding the Fourth Proportional to 455,464.55, 682,739.61 and 155,740.16

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Solution

The fourth proportional to 455,464.55, 682,739.61 and 155,740.16 is: 233,453.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,464.55 : 682,739.61 = 155,740.16 : x
  2. Step 2: Convert to fraction form
    455,464.55/682,739.61 = 155,740.16/x
  3. Step 3: Cross multiply
    455,464.55x = 682,739.61 × 155,740.16
  4. Step 4: Simplify right side
    455,464.55x = 106,329,976,099.74
  5. Step 5: Solve for x
    x = 106,329,976,099.74/455,464.55
  6. Step 6: Final answer
    x = 233,453.90

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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.