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Finding the Fourth Proportional to 403,961.82, 557,999.75 and 301,809.74

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Solution

The fourth proportional to 403,961.82, 557,999.75 and 301,809.74 is: 416,895.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,961.82 : 557,999.75 = 301,809.74 : x
  2. Step 2: Convert to fraction form
    403,961.82/557,999.75 = 301,809.74/x
  3. Step 3: Cross multiply
    403,961.82x = 557,999.75 × 301,809.74
  4. Step 4: Simplify right side
    403,961.82x = 168,409,759,467.57
  5. Step 5: Solve for x
    x = 168,409,759,467.57/403,961.82
  6. Step 6: Final answer
    x = 416,895.24

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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.