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Finding the Fourth Proportional to 395,098.71, 545,232.01 and 213,806.59

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Solution

The fourth proportional to 395,098.71, 545,232.01 and 213,806.59 is: 295,050.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,098.71 : 545,232.01 = 213,806.59 : x
  2. Step 2: Convert to fraction form
    395,098.71/545,232.01 = 213,806.59/x
  3. Step 3: Cross multiply
    395,098.71x = 545,232.01 × 213,806.59
  4. Step 4: Simplify right side
    395,098.71x = 116,574,195,320.24
  5. Step 5: Solve for x
    x = 116,574,195,320.24/395,098.71
  6. Step 6: Final answer
    x = 295,050.81

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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.