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Finding the Fourth Proportional to 398,286.71, 549,838.80 and 269,903.43

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Solution

The fourth proportional to 398,286.71, 549,838.80 and 269,903.43 is: 372,604.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,286.71 : 549,838.80 = 269,903.43 : x
  2. Step 2: Convert to fraction form
    398,286.71/549,838.80 = 269,903.43/x
  3. Step 3: Cross multiply
    398,286.71x = 549,838.80 × 269,903.43
  4. Step 4: Simplify right side
    398,286.71x = 148,403,376,717.57
  5. Step 5: Solve for x
    x = 148,403,376,717.57/398,286.71
  6. Step 6: Final answer
    x = 372,604.39

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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.