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Finding the Fourth Proportional to 381,553.15, 526,549.53 and 209,486.98

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Solution

The fourth proportional to 381,553.15, 526,549.53 and 209,486.98 is: 289,095.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,553.15 : 526,549.53 = 209,486.98 : x
  2. Step 2: Convert to fraction form
    381,553.15/526,549.53 = 209,486.98/x
  3. Step 3: Cross multiply
    381,553.15x = 526,549.53 × 209,486.98
  4. Step 4: Simplify right side
    381,553.15x = 110,305,270,860.12
  5. Step 5: Solve for x
    x = 110,305,270,860.12/381,553.15
  6. Step 6: Final answer
    x = 289,095.43

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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.