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Finding the Fourth Proportional to 656,811, 906,400.26 and 355,005

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Solution

The fourth proportional to 656,811, 906,400.26 and 355,005 is: 489,907.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,811 : 906,400.26 = 355,005 : x
  2. Step 2: Convert to fraction form
    656,811/906,400.26 = 355,005/x
  3. Step 3: Cross multiply
    656,811x = 906,400.26 × 355,005
  4. Step 4: Simplify right side
    656,811x = 321,776,624,301.30
  5. Step 5: Solve for x
    x = 321,776,624,301.30/656,811
  6. Step 6: Final answer
    x = 489,907.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.