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Finding the Fourth Proportional to 557,277.44, 769,051.77 and 315,553.46

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Solution

The fourth proportional to 557,277.44, 769,051.77 and 315,553.46 is: 435,468.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,277.44 : 769,051.77 = 315,553.46 : x
  2. Step 2: Convert to fraction form
    557,277.44/769,051.77 = 315,553.46/x
  3. Step 3: Cross multiply
    557,277.44x = 769,051.77 × 315,553.46
  4. Step 4: Simplify right side
    557,277.44x = 242,676,946,942.62
  5. Step 5: Solve for x
    x = 242,676,946,942.62/557,277.44
  6. Step 6: Final answer
    x = 435,468.82

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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.