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Finding the Fourth Proportional to 496,820.32, 685,521.76 and 281,969.44

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Solution

The fourth proportional to 496,820.32, 685,521.76 and 281,969.44 is: 389,066.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,820.32 : 685,521.76 = 281,969.44 : x
  2. Step 2: Convert to fraction form
    496,820.32/685,521.76 = 281,969.44/x
  3. Step 3: Cross multiply
    496,820.32x = 685,521.76 × 281,969.44
  4. Step 4: Simplify right side
    496,820.32x = 193,296,186,775.01
  5. Step 5: Solve for x
    x = 193,296,186,775.01/496,820.32
  6. Step 6: Final answer
    x = 389,066.59

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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.