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Finding the Fourth Proportional to 381,996.30, 575,214 and 282,858.78

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Solution

The fourth proportional to 381,996.30, 575,214 and 282,858.78 is: 425,931.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,996.30 : 575,214 = 282,858.78 : x
  2. Step 2: Convert to fraction form
    381,996.30/575,214 = 282,858.78/x
  3. Step 3: Cross multiply
    381,996.30x = 575,214 × 282,858.78
  4. Step 4: Simplify right side
    381,996.30x = 162,704,330,278.92
  5. Step 5: Solve for x
    x = 162,704,330,278.92/381,996.30
  6. Step 6: Final answer
    x = 425,931.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.