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Finding the Fourth Proportional to 455,261.70, 682,892.55 and 410,160.90

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Solution

The fourth proportional to 455,261.70, 682,892.55 and 410,160.90 is: 615,241.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,261.70 : 682,892.55 = 410,160.90 : x
  2. Step 2: Convert to fraction form
    455,261.70/682,892.55 = 410,160.90/x
  3. Step 3: Cross multiply
    455,261.70x = 682,892.55 × 410,160.90
  4. Step 4: Simplify right side
    455,261.70x = 280,095,822,911.30
  5. Step 5: Solve for x
    x = 280,095,822,911.30/455,261.70
  6. Step 6: Final answer
    x = 615,241.35

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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.