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Finding the Fourth Proportional to 557,338.44, 769,174.48 and 315,664

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Solution

The fourth proportional to 557,338.44, 769,174.48 and 315,664 is: 435,643.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,338.44 : 769,174.48 = 315,664 : x
  2. Step 2: Convert to fraction form
    557,338.44/769,174.48 = 315,664/x
  3. Step 3: Cross multiply
    557,338.44x = 769,174.48 × 315,664
  4. Step 4: Simplify right side
    557,338.44x = 242,800,693,054.72
  5. Step 5: Solve for x
    x = 242,800,693,054.72/557,338.44
  6. Step 6: Final answer
    x = 435,643.18

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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.