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Finding the Fourth Proportional to 411,751.80, 617,627.70 and 395,422.20

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Solution

The fourth proportional to 411,751.80, 617,627.70 and 395,422.20 is: 593,133.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,751.80 : 617,627.70 = 395,422.20 : x
  2. Step 2: Convert to fraction form
    411,751.80/617,627.70 = 395,422.20/x
  3. Step 3: Cross multiply
    411,751.80x = 617,627.70 × 395,422.20
  4. Step 4: Simplify right side
    411,751.80x = 244,223,703,914.94
  5. Step 5: Solve for x
    x = 244,223,703,914.94/411,751.80
  6. Step 6: Final answer
    x = 593,133.30

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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.