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Finding the Fourth Proportional to 557,338.70, 769,174.82 and 315,664.26

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Solution

The fourth proportional to 557,338.70, 769,174.82 and 315,664.26 is: 435,643.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,338.70 : 769,174.82 = 315,664.26 : x
  2. Step 2: Convert to fraction form
    557,338.70/769,174.82 = 315,664.26/x
  3. Step 3: Cross multiply
    557,338.70x = 769,174.82 × 315,664.26
  4. Step 4: Simplify right side
    557,338.70x = 242,801,000,365.93
  5. Step 5: Solve for x
    x = 242,801,000,365.93/557,338.70
  6. Step 6: Final answer
    x = 435,643.53

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1.5x scale

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.