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Finding the Fourth Proportional to 557,223, 768,967.74 and 318,759

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Solution

The fourth proportional to 557,223, 768,967.74 and 318,759 is: 439,887.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,223 : 768,967.74 = 318,759 : x
  2. Step 2: Convert to fraction form
    557,223/768,967.74 = 318,759/x
  3. Step 3: Cross multiply
    557,223x = 768,967.74 × 318,759
  4. Step 4: Simplify right side
    557,223x = 245,115,387,834.66
  5. Step 5: Solve for x
    x = 245,115,387,834.66/557,223
  6. Step 6: Final answer
    x = 439,887.42

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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.