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Finding the Fourth Proportional to 395,471.88, 545,746.80 and 214,179.24

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Solution

The fourth proportional to 395,471.88, 545,746.80 and 214,179.24 is: 295,564.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,471.88 : 545,746.80 = 214,179.24 : x
  2. Step 2: Convert to fraction form
    395,471.88/545,746.80 = 214,179.24/x
  3. Step 3: Cross multiply
    395,471.88x = 545,746.80 × 214,179.24
  4. Step 4: Simplify right side
    395,471.88x = 116,887,634,856.43
  5. Step 5: Solve for x
    x = 116,887,634,856.43/395,471.88
  6. Step 6: Final answer
    x = 295,564.97

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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.