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Finding the Fourth Proportional to 292,535.52, 438,820.32 and 82,189.86

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Solution

The fourth proportional to 292,535.52, 438,820.32 and 82,189.86 is: 123,289.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,535.52 : 438,820.32 = 82,189.86 : x
  2. Step 2: Convert to fraction form
    292,535.52/438,820.32 = 82,189.86/x
  3. Step 3: Cross multiply
    292,535.52x = 438,820.32 × 82,189.86
  4. Step 4: Simplify right side
    292,535.52x = 36,066,580,665.96
  5. Step 5: Solve for x
    x = 36,066,580,665.96/292,535.52
  6. Step 6: Final answer
    x = 123,289.58

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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.