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Finding the Fourth Proportional to 257,697.37, 386,546.01 and 151,243.30

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Solution

The fourth proportional to 257,697.37, 386,546.01 and 151,243.30 is: 226,864.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,697.37 : 386,546.01 = 151,243.30 : x
  2. Step 2: Convert to fraction form
    257,697.37/386,546.01 = 151,243.30/x
  3. Step 3: Cross multiply
    257,697.37x = 386,546.01 × 151,243.30
  4. Step 4: Simplify right side
    257,697.37x = 58,462,494,154.23
  5. Step 5: Solve for x
    x = 58,462,494,154.23/257,697.37
  6. Step 6: Final answer
    x = 226,864.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.