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Finding the Fourth Proportional to 522,110.12, 783,165.87 and 143,034.21

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Solution

The fourth proportional to 522,110.12, 783,165.87 and 143,034.21 is: 214,551.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,110.12 : 783,165.87 = 143,034.21 : x
  2. Step 2: Convert to fraction form
    522,110.12/783,165.87 = 143,034.21/x
  3. Step 3: Cross multiply
    522,110.12x = 783,165.87 × 143,034.21
  4. Step 4: Simplify right side
    522,110.12x = 112,019,511,514.41
  5. Step 5: Solve for x
    x = 112,019,511,514.41/522,110.12
  6. Step 6: Final answer
    x = 214,551.51

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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.