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Finding the Fourth Proportional to 520,524.70, 780,851.31 and 254,083.86

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Solution

The fourth proportional to 520,524.70, 780,851.31 and 254,083.86 is: 381,157.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,524.70 : 780,851.31 = 254,083.86 : x
  2. Step 2: Convert to fraction form
    520,524.70/780,851.31 = 254,083.86/x
  3. Step 3: Cross multiply
    520,524.70x = 780,851.31 × 254,083.86
  4. Step 4: Simplify right side
    520,524.70x = 198,401,714,930.86
  5. Step 5: Solve for x
    x = 198,401,714,930.86/520,524.70
  6. Step 6: Final answer
    x = 381,157.16

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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.