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Finding the Fourth Proportional to 451,520.70, 677,259.45 and 151,971.90

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Solution

The fourth proportional to 451,520.70, 677,259.45 and 151,971.90 is: 227,950.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,520.70 : 677,259.45 = 151,971.90 : x
  2. Step 2: Convert to fraction form
    451,520.70/677,259.45 = 151,971.90/x
  3. Step 3: Cross multiply
    451,520.70x = 677,259.45 × 151,971.90
  4. Step 4: Simplify right side
    451,520.70x = 102,924,405,409.46
  5. Step 5: Solve for x
    x = 102,924,405,409.46/451,520.70
  6. Step 6: Final answer
    x = 227,950.58

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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.