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Finding the Fourth Proportional to 395,437.68, 545,704.50 and 214,149.90

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Solution

The fourth proportional to 395,437.68, 545,704.50 and 214,149.90 is: 295,527.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,437.68 : 545,704.50 = 214,149.90 : x
  2. Step 2: Convert to fraction form
    395,437.68/545,704.50 = 214,149.90/x
  3. Step 3: Cross multiply
    395,437.68x = 545,704.50 × 214,149.90
  4. Step 4: Simplify right side
    395,437.68x = 116,862,564,104.55
  5. Step 5: Solve for x
    x = 116,862,564,104.55/395,437.68
  6. Step 6: Final answer
    x = 295,527.13

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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.