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Finding the Fourth Proportional to 656,997, 906,657.09 and 355,191

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Solution

The fourth proportional to 656,997, 906,657.09 and 355,191 is: 490,164.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,997 : 906,657.09 = 355,191 : x
  2. Step 2: Convert to fraction form
    656,997/906,657.09 = 355,191/x
  3. Step 3: Cross multiply
    656,997x = 906,657.09 × 355,191
  4. Step 4: Simplify right side
    656,997x = 322,036,438,454.19
  5. Step 5: Solve for x
    x = 322,036,438,454.19/656,997
  6. Step 6: Final answer
    x = 490,164.24

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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.