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Finding the Fourth Proportional to 645,817.40, 966,422.10 and 409,273.40

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Solution

The fourth proportional to 645,817.40, 966,422.10 and 409,273.40 is: 612,449.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,817.40 : 966,422.10 = 409,273.40 : x
  2. Step 2: Convert to fraction form
    645,817.40/966,422.10 = 409,273.40/x
  3. Step 3: Cross multiply
    645,817.40x = 966,422.10 × 409,273.40
  4. Step 4: Simplify right side
    645,817.40x = 395,530,858,702.14
  5. Step 5: Solve for x
    x = 395,530,858,702.14/645,817.40
  6. Step 6: Final answer
    x = 612,449.99

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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.