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Finding the Fourth Proportional to 376,718.68, 519,869.64 and 206,949.16

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Solution

The fourth proportional to 376,718.68, 519,869.64 and 206,949.16 is: 285,588.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,718.68 : 519,869.64 = 206,949.16 : x
  2. Step 2: Convert to fraction form
    376,718.68/519,869.64 = 206,949.16/x
  3. Step 3: Cross multiply
    376,718.68x = 519,869.64 × 206,949.16
  4. Step 4: Simplify right side
    376,718.68x = 107,586,585,307.50
  5. Step 5: Solve for x
    x = 107,586,585,307.50/376,718.68
  6. Step 6: Final answer
    x = 285,588.67

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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.