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Finding the Fourth Proportional to 478,134.36, 659,812.50 and 274,219.56

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Solution

The fourth proportional to 478,134.36, 659,812.50 and 274,219.56 is: 378,415.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,134.36 : 659,812.50 = 274,219.56 : x
  2. Step 2: Convert to fraction form
    478,134.36/659,812.50 = 274,219.56/x
  3. Step 3: Cross multiply
    478,134.36x = 659,812.50 × 274,219.56
  4. Step 4: Simplify right side
    478,134.36x = 180,933,493,432.50
  5. Step 5: Solve for x
    x = 180,933,493,432.50/478,134.36
  6. Step 6: Final answer
    x = 378,415.58

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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.