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Finding the Fourth Proportional to 395,438.73, 545,704.62 and 214,150.11

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Solution

The fourth proportional to 395,438.73, 545,704.62 and 214,150.11 is: 295,526.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,438.73 : 545,704.62 = 214,150.11 : x
  2. Step 2: Convert to fraction form
    395,438.73/545,704.62 = 214,150.11/x
  3. Step 3: Cross multiply
    395,438.73x = 545,704.62 × 214,150.11
  4. Step 4: Simplify right side
    395,438.73x = 116,862,704,400.51
  5. Step 5: Solve for x
    x = 116,862,704,400.51/395,438.73
  6. Step 6: Final answer
    x = 295,526.70

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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.