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Finding the Fourth Proportional to 381,900.09, 527,030.46 and 209,820.27

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Solution

The fourth proportional to 381,900.09, 527,030.46 and 209,820.27 is: 289,556.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,900.09 : 527,030.46 = 209,820.27 : x
  2. Step 2: Convert to fraction form
    381,900.09/527,030.46 = 209,820.27/x
  3. Step 3: Cross multiply
    381,900.09x = 527,030.46 × 209,820.27
  4. Step 4: Simplify right side
    381,900.09x = 110,581,673,415.42
  5. Step 5: Solve for x
    x = 110,581,673,415.42/381,900.09
  6. Step 6: Final answer
    x = 289,556.55

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1.5x scale

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.