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Finding the Fourth Proportional to 557,338.50, 769,174.56 and 315,664.06

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Solution

The fourth proportional to 557,338.50, 769,174.56 and 315,664.06 is: 435,643.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,338.50 : 769,174.56 = 315,664.06 : x
  2. Step 2: Convert to fraction form
    557,338.50/769,174.56 = 315,664.06/x
  3. Step 3: Cross multiply
    557,338.50x = 769,174.56 × 315,664.06
  4. Step 4: Simplify right side
    557,338.50x = 242,800,765,419.78
  5. Step 5: Solve for x
    x = 242,800,765,419.78/557,338.50
  6. Step 6: Final answer
    x = 435,643.27

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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.