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Finding the Fourth Proportional to 414,280, 621,168.42 and 270,292.78

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Solution

The fourth proportional to 414,280, 621,168.42 and 270,292.78 is: 405,275.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,280 : 621,168.42 = 270,292.78 : x
  2. Step 2: Convert to fraction form
    414,280/621,168.42 = 270,292.78/x
  3. Step 3: Cross multiply
    414,280x = 621,168.42 × 270,292.78
  4. Step 4: Simplify right side
    414,280x = 167,897,339,090.01
  5. Step 5: Solve for x
    x = 167,897,339,090.01/414,280
  6. Step 6: Final answer
    x = 405,275.03

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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.