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Finding the Fourth Proportional to 455,129, 682,482.32 and 265,643.90

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Solution

The fourth proportional to 455,129, 682,482.32 and 265,643.90 is: 398,342.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,129 : 682,482.32 = 265,643.90 : x
  2. Step 2: Convert to fraction form
    455,129/682,482.32 = 265,643.90/x
  3. Step 3: Cross multiply
    455,129x = 682,482.32 × 265,643.90
  4. Step 4: Simplify right side
    455,129x = 181,297,265,165.85
  5. Step 5: Solve for x
    x = 181,297,265,165.85/455,129
  6. Step 6: Final answer
    x = 398,342.59

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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.