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Finding the Fourth Proportional to 455,851.55, 683,786.12 and 140,308.13

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Solution

The fourth proportional to 455,851.55, 683,786.12 and 140,308.13 is: 210,464.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,851.55 : 683,786.12 = 140,308.13 : x
  2. Step 2: Convert to fraction form
    455,851.55/683,786.12 = 140,308.13/x
  3. Step 3: Cross multiply
    455,851.55x = 683,786.12 × 140,308.13
  4. Step 4: Simplify right side
    455,851.55x = 95,940,747,696.68
  5. Step 5: Solve for x
    x = 95,940,747,696.68/455,851.55
  6. Step 6: Final answer
    x = 210,464.90

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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.