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Finding the Fourth Proportional to 557,357.94, 769,162.77 and 315,633.96

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Solution

The fourth proportional to 557,357.94, 769,162.77 and 315,633.96 is: 435,579.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,357.94 : 769,162.77 = 315,633.96 : x
  2. Step 2: Convert to fraction form
    557,357.94/769,162.77 = 315,633.96/x
  3. Step 3: Cross multiply
    557,357.94x = 769,162.77 × 315,633.96
  4. Step 4: Simplify right side
    557,357.94x = 242,773,890,979.67
  5. Step 5: Solve for x
    x = 242,773,890,979.67/557,357.94
  6. Step 6: Final answer
    x = 435,579.86

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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.