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Finding the Fourth Proportional to 656,595, 906,101.10 and 354,789

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Solution

The fourth proportional to 656,595, 906,101.10 and 354,789 is: 489,608.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,595 : 906,101.10 = 354,789 : x
  2. Step 2: Convert to fraction form
    656,595/906,101.10 = 354,789/x
  3. Step 3: Cross multiply
    656,595x = 906,101.10 × 354,789
  4. Step 4: Simplify right side
    656,595x = 321,474,703,167.90
  5. Step 5: Solve for x
    x = 321,474,703,167.90/656,595
  6. Step 6: Final answer
    x = 489,608.82

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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.