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Finding the Fourth Proportional to 557,102.72, 768,804.96 and 327,669.72

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Solution

The fourth proportional to 557,102.72, 768,804.96 and 327,669.72 is: 452,186.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,102.72 : 768,804.96 = 327,669.72 : x
  2. Step 2: Convert to fraction form
    557,102.72/768,804.96 = 327,669.72/x
  3. Step 3: Cross multiply
    557,102.72x = 768,804.96 × 327,669.72
  4. Step 4: Simplify right side
    557,102.72x = 251,914,105,977.81
  5. Step 5: Solve for x
    x = 251,914,105,977.81/557,102.72
  6. Step 6: Final answer
    x = 452,186.10

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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.