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Finding the Fourth Proportional to 292,638.83, 438,958.26 and 82,276.76

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Solution

The fourth proportional to 292,638.83, 438,958.26 and 82,276.76 is: 123,415.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,638.83 : 438,958.26 = 82,276.76 : x
  2. Step 2: Convert to fraction form
    292,638.83/438,958.26 = 82,276.76/x
  3. Step 3: Cross multiply
    292,638.83x = 438,958.26 × 82,276.76
  4. Step 4: Simplify right side
    292,638.83x = 36,116,063,408.04
  5. Step 5: Solve for x
    x = 36,116,063,408.04/292,638.83
  6. Step 6: Final answer
    x = 123,415.14

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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.