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Finding the Fourth Proportional to 381,993.30, 575,209.49 and 282,855.78

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Solution

The fourth proportional to 381,993.30, 575,209.49 and 282,855.78 is: 425,927.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,993.30 : 575,209.49 = 282,855.78 : x
  2. Step 2: Convert to fraction form
    381,993.30/575,209.49 = 282,855.78/x
  3. Step 3: Cross multiply
    381,993.30x = 575,209.49 × 282,855.78
  4. Step 4: Simplify right side
    381,993.30x = 162,701,327,543.07
  5. Step 5: Solve for x
    x = 162,701,327,543.07/381,993.30
  6. Step 6: Final answer
    x = 425,927.18

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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.