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Finding the Fourth Proportional to 398,256.73, 549,591.42 and 216,968.61

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Solution

The fourth proportional to 398,256.73, 549,591.42 and 216,968.61 is: 299,415.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,256.73 : 549,591.42 = 216,968.61 : x
  2. Step 2: Convert to fraction form
    398,256.73/549,591.42 = 216,968.61/x
  3. Step 3: Cross multiply
    398,256.73x = 549,591.42 × 216,968.61
  4. Step 4: Simplify right side
    398,256.73x = 119,244,086,465.33
  5. Step 5: Solve for x
    x = 119,244,086,465.33/398,256.73
  6. Step 6: Final answer
    x = 299,415.12

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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.