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Finding the Fourth Proportional to 655,978.23, 905,213.36 and 361,618.45

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Solution

The fourth proportional to 655,978.23, 905,213.36 and 361,618.45 is: 499,013.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,978.23 : 905,213.36 = 361,618.45 : x
  2. Step 2: Convert to fraction form
    655,978.23/905,213.36 = 361,618.45/x
  3. Step 3: Cross multiply
    655,978.23x = 905,213.36 × 361,618.45
  4. Step 4: Simplify right side
    655,978.23x = 327,341,848,091.37
  5. Step 5: Solve for x
    x = 327,341,848,091.37/655,978.23
  6. Step 6: Final answer
    x = 499,013.28

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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.