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Finding the Fourth Proportional to 395,177.79, 545,345.31 and 213,889.69

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Solution

The fourth proportional to 395,177.79, 545,345.31 and 213,889.69 is: 295,167.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,177.79 : 545,345.31 = 213,889.69 : x
  2. Step 2: Convert to fraction form
    395,177.79/545,345.31 = 213,889.69/x
  3. Step 3: Cross multiply
    395,177.79x = 545,345.31 × 213,889.69
  4. Step 4: Simplify right side
    395,177.79x = 116,643,735,502.68
  5. Step 5: Solve for x
    x = 116,643,735,502.68/395,177.79
  6. Step 6: Final answer
    x = 295,167.74

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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.