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Finding the Fourth Proportional to 519,863.16, 780,086.34 and 283,222.44

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Solution

The fourth proportional to 519,863.16, 780,086.34 and 283,222.44 is: 424,992.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,863.16 : 780,086.34 = 283,222.44 : x
  2. Step 2: Convert to fraction form
    519,863.16/780,086.34 = 283,222.44/x
  3. Step 3: Cross multiply
    519,863.16x = 780,086.34 × 283,222.44
  4. Step 4: Simplify right side
    519,863.16x = 220,937,956,625.47
  5. Step 5: Solve for x
    x = 220,937,956,625.47/519,863.16
  6. Step 6: Final answer
    x = 424,992.52

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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.