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Finding the Fourth Proportional to 381,755.95, 526,829.57 and 209,689.83

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Solution

The fourth proportional to 381,755.95, 526,829.57 and 209,689.83 is: 289,375.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,755.95 : 526,829.57 = 209,689.83 : x
  2. Step 2: Convert to fraction form
    381,755.95/526,829.57 = 209,689.83/x
  3. Step 3: Cross multiply
    381,755.95x = 526,829.57 × 209,689.83
  4. Step 4: Simplify right side
    381,755.95x = 110,470,802,710.16
  5. Step 5: Solve for x
    x = 110,470,802,710.16/381,755.95
  6. Step 6: Final answer
    x = 289,375.46

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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.