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Finding the Fourth Proportional to 398,490, 549,912.64 and 217,201.92

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Solution

The fourth proportional to 398,490, 549,912.64 and 217,201.92 is: 299,736.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,490 : 549,912.64 = 217,201.92 : x
  2. Step 2: Convert to fraction form
    398,490/549,912.64 = 217,201.92/x
  3. Step 3: Cross multiply
    398,490x = 549,912.64 × 217,201.92
  4. Step 4: Simplify right side
    398,490x = 119,442,081,240.27
  5. Step 5: Solve for x
    x = 119,442,081,240.27/398,490
  6. Step 6: Final answer
    x = 299,736.71

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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.