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Finding the Fourth Proportional to 292,415.82, 403,511.31 and 165,103.98

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Solution

The fourth proportional to 292,415.82, 403,511.31 and 165,103.98 is: 227,830.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,415.82 : 403,511.31 = 165,103.98 : x
  2. Step 2: Convert to fraction form
    292,415.82/403,511.31 = 165,103.98/x
  3. Step 3: Cross multiply
    292,415.82x = 403,511.31 × 165,103.98
  4. Step 4: Simplify right side
    292,415.82x = 66,621,323,256.01
  5. Step 5: Solve for x
    x = 66,621,323,256.01/292,415.82
  6. Step 6: Final answer
    x = 227,830.78

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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.