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Finding the Fourth Proportional to 398,442.33, 549,836.46 and 217,150.65

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Solution

The fourth proportional to 398,442.33, 549,836.46 and 217,150.65 is: 299,660.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,442.33 : 549,836.46 = 217,150.65 : x
  2. Step 2: Convert to fraction form
    398,442.33/549,836.46 = 217,150.65/x
  3. Step 3: Cross multiply
    398,442.33x = 549,836.46 × 217,150.65
  4. Step 4: Simplify right side
    398,442.33x = 119,397,344,682.70
  5. Step 5: Solve for x
    x = 119,397,344,682.70/398,442.33
  6. Step 6: Final answer
    x = 299,660.29

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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.