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Finding the Fourth Proportional to 455,213.40, 682,820.10 and 416,831.55

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Solution

The fourth proportional to 455,213.40, 682,820.10 and 416,831.55 is: 625,247.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,213.40 : 682,820.10 = 416,831.55 : x
  2. Step 2: Convert to fraction form
    455,213.40/682,820.10 = 416,831.55/x
  3. Step 3: Cross multiply
    455,213.40x = 682,820.10 × 416,831.55
  4. Step 4: Simplify right side
    455,213.40x = 284,620,960,654.16
  5. Step 5: Solve for x
    x = 284,620,960,654.16/455,213.40
  6. Step 6: Final answer
    x = 625,247.33

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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.