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Finding the Fourth Proportional to 380,697.86, 525,363.03 and 227,742.47

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Solution

The fourth proportional to 380,697.86, 525,363.03 and 227,742.47 is: 314,284.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,697.86 : 525,363.03 = 227,742.47 : x
  2. Step 2: Convert to fraction form
    380,697.86/525,363.03 = 227,742.47/x
  3. Step 3: Cross multiply
    380,697.86x = 525,363.03 × 227,742.47
  4. Step 4: Simplify right side
    380,697.86x = 119,647,474,098.88
  5. Step 5: Solve for x
    x = 119,647,474,098.88/380,697.86
  6. Step 6: Final answer
    x = 314,284.60

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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.