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Finding the Fourth Proportional to 275,221.60, 412,832.40 and 251,971.06

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Solution

The fourth proportional to 275,221.60, 412,832.40 and 251,971.06 is: 377,956.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,221.60 : 412,832.40 = 251,971.06 : x
  2. Step 2: Convert to fraction form
    275,221.60/412,832.40 = 251,971.06/x
  3. Step 3: Cross multiply
    275,221.60x = 412,832.40 × 251,971.06
  4. Step 4: Simplify right side
    275,221.60x = 104,021,817,430.34
  5. Step 5: Solve for x
    x = 104,021,817,430.34/275,221.60
  6. Step 6: Final answer
    x = 377,956.59

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1.5x scale

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.