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Finding the Fourth Proportional to 455,065.60, 683,910.60 and 397,328.80

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Solution

The fourth proportional to 455,065.60, 683,910.60 and 397,328.80 is: 597,138.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,065.60 : 683,910.60 = 397,328.80 : x
  2. Step 2: Convert to fraction form
    455,065.60/683,910.60 = 397,328.80/x
  3. Step 3: Cross multiply
    455,065.60x = 683,910.60 × 397,328.80
  4. Step 4: Simplify right side
    455,065.60x = 271,737,378,005.28
  5. Step 5: Solve for x
    x = 271,737,378,005.28/455,065.60
  6. Step 6: Final answer
    x = 597,138.91

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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.