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Finding the Fourth Proportional to 456,048.12, 683,404.74 and 256,757.34

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Solution

The fourth proportional to 456,048.12, 683,404.74 and 256,757.34 is: 384,760.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,048.12 : 683,404.74 = 256,757.34 : x
  2. Step 2: Convert to fraction form
    456,048.12/683,404.74 = 256,757.34/x
  3. Step 3: Cross multiply
    456,048.12x = 683,404.74 × 256,757.34
  4. Step 4: Simplify right side
    456,048.12x = 175,469,183,185.79
  5. Step 5: Solve for x
    x = 175,469,183,185.79/456,048.12
  6. Step 6: Final answer
    x = 384,760.24

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1.5x scale

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.