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Finding the Fourth Proportional to 286,876.26, 429,920.73 and 181,506.60

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Solution

The fourth proportional to 286,876.26, 429,920.73 and 181,506.60 is: 272,010.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,876.26 : 429,920.73 = 181,506.60 : x
  2. Step 2: Convert to fraction form
    286,876.26/429,920.73 = 181,506.60/x
  3. Step 3: Cross multiply
    286,876.26x = 429,920.73 × 181,506.60
  4. Step 4: Simplify right side
    286,876.26x = 78,033,449,971.82
  5. Step 5: Solve for x
    x = 78,033,449,971.82/286,876.26
  6. Step 6: Final answer
    x = 272,010.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.