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Finding the Fourth Proportional to 414,423, 621,497.81 and 133,874.64

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Solution

The fourth proportional to 414,423, 621,497.81 and 133,874.64 is: 200,767.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,423 : 621,497.81 = 133,874.64 : x
  2. Step 2: Convert to fraction form
    414,423/621,497.81 = 133,874.64/x
  3. Step 3: Cross multiply
    414,423x = 621,497.81 × 133,874.64
  4. Step 4: Simplify right side
    414,423x = 83,202,795,909.23
  5. Step 5: Solve for x
    x = 83,202,795,909.23/414,423
  6. Step 6: Final answer
    x = 200,767.80

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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.