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Finding the Fourth Proportional to 455,153.80, 682,730.70 and 305,854.60

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Solution

The fourth proportional to 455,153.80, 682,730.70 and 305,854.60 is: 458,781.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,153.80 : 682,730.70 = 305,854.60 : x
  2. Step 2: Convert to fraction form
    455,153.80/682,730.70 = 305,854.60/x
  3. Step 3: Cross multiply
    455,153.80x = 682,730.70 × 305,854.60
  4. Step 4: Simplify right side
    455,153.80x = 208,816,325,156.22
  5. Step 5: Solve for x
    x = 208,816,325,156.22/455,153.80
  6. Step 6: Final answer
    x = 458,781.90

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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.