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Finding the Fourth Proportional to 456,205.80, 683,012.70 and 431,380.20

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Solution

The fourth proportional to 456,205.80, 683,012.70 and 431,380.20 is: 645,844.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,205.80 : 683,012.70 = 431,380.20 : x
  2. Step 2: Convert to fraction form
    456,205.80/683,012.70 = 431,380.20/x
  3. Step 3: Cross multiply
    456,205.80x = 683,012.70 × 431,380.20
  4. Step 4: Simplify right side
    456,205.80x = 294,638,155,128.54
  5. Step 5: Solve for x
    x = 294,638,155,128.54/456,205.80
  6. Step 6: Final answer
    x = 645,844.83

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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.