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Finding the Fourth Proportional to 455,515.20, 683,272.80 and 431,020.80

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Solution

The fourth proportional to 455,515.20, 683,272.80 and 431,020.80 is: 646,531.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,515.20 : 683,272.80 = 431,020.80 : x
  2. Step 2: Convert to fraction form
    455,515.20/683,272.80 = 431,020.80/x
  3. Step 3: Cross multiply
    455,515.20x = 683,272.80 × 431,020.80
  4. Step 4: Simplify right side
    455,515.20x = 294,504,788,874.24
  5. Step 5: Solve for x
    x = 294,504,788,874.24/455,515.20
  6. Step 6: Final answer
    x = 646,531.20

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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.