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Finding the Fourth Proportional to 427,820.31, 590,670.56 and 274,917.42

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Solution

The fourth proportional to 427,820.31, 590,670.56 and 274,917.42 is: 379,565.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,820.31 : 590,670.56 = 274,917.42 : x
  2. Step 2: Convert to fraction form
    427,820.31/590,670.56 = 274,917.42/x
  3. Step 3: Cross multiply
    427,820.31x = 590,670.56 × 274,917.42
  4. Step 4: Simplify right side
    427,820.31x = 162,385,626,425.16
  5. Step 5: Solve for x
    x = 162,385,626,425.16/427,820.31
  6. Step 6: Final answer
    x = 379,565.02

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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.