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Finding the Fourth Proportional to 414,133.70, 621,200.55 and 407,135.30

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Solution

The fourth proportional to 414,133.70, 621,200.55 and 407,135.30 is: 610,702.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,133.70 : 621,200.55 = 407,135.30 : x
  2. Step 2: Convert to fraction form
    414,133.70/621,200.55 = 407,135.30/x
  3. Step 3: Cross multiply
    414,133.70x = 621,200.55 × 407,135.30
  4. Step 4: Simplify right side
    414,133.70x = 252,912,672,284.42
  5. Step 5: Solve for x
    x = 252,912,672,284.42/414,133.70
  6. Step 6: Final answer
    x = 610,702.95

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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.