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Finding the Fourth Proportional to 569,164.49, 785,458.25 and 311,057.42

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Solution

The fourth proportional to 569,164.49, 785,458.25 and 311,057.42 is: 429,265.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,164.49 : 785,458.25 = 311,057.42 : x
  2. Step 2: Convert to fraction form
    569,164.49/785,458.25 = 311,057.42/x
  3. Step 3: Cross multiply
    569,164.49x = 785,458.25 × 311,057.42
  4. Step 4: Simplify right side
    569,164.49x = 244,322,613,613.07
  5. Step 5: Solve for x
    x = 244,322,613,613.07/569,164.49
  6. Step 6: Final answer
    x = 429,265.39

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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.