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Finding the Fourth Proportional to 557,259.22, 769,020.67 and 315,588.84

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Solution

The fourth proportional to 557,259.22, 769,020.67 and 315,588.84 is: 435,514.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,259.22 : 769,020.67 = 315,588.84 : x
  2. Step 2: Convert to fraction form
    557,259.22/769,020.67 = 315,588.84/x
  3. Step 3: Cross multiply
    557,259.22x = 769,020.67 × 315,588.84
  4. Step 4: Simplify right side
    557,259.22x = 242,694,338,691.98
  5. Step 5: Solve for x
    x = 242,694,338,691.98/557,259.22
  6. Step 6: Final answer
    x = 435,514.26

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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.