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Finding the Fourth Proportional to 653,571.20, 978,801.60 and 401,628.80

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Solution

The fourth proportional to 653,571.20, 978,801.60 and 401,628.80 is: 601,487.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,571.20 : 978,801.60 = 401,628.80 : x
  2. Step 2: Convert to fraction form
    653,571.20/978,801.60 = 401,628.80/x
  3. Step 3: Cross multiply
    653,571.20x = 978,801.60 × 401,628.80
  4. Step 4: Simplify right side
    653,571.20x = 393,114,912,046.08
  5. Step 5: Solve for x
    x = 393,114,912,046.08/653,571.20
  6. Step 6: Final answer
    x = 601,487.51

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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.