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Finding the Fourth Proportional to 379,338.64, 523,479.72 and 209,568.40

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Solution

The fourth proportional to 379,338.64, 523,479.72 and 209,568.40 is: 289,200.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,338.64 : 523,479.72 = 209,568.40 : x
  2. Step 2: Convert to fraction form
    379,338.64/523,479.72 = 209,568.40/x
  3. Step 3: Cross multiply
    379,338.64x = 523,479.72 × 209,568.40
  4. Step 4: Simplify right side
    379,338.64x = 109,704,807,352.85
  5. Step 5: Solve for x
    x = 109,704,807,352.85/379,338.64
  6. Step 6: Final answer
    x = 289,200.19

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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.