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Finding the Fourth Proportional to 418,132.64, 577,023.54 and 227,146

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Solution

The fourth proportional to 418,132.64, 577,023.54 and 227,146 is: 313,461.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,132.64 : 577,023.54 = 227,146 : x
  2. Step 2: Convert to fraction form
    418,132.64/577,023.54 = 227,146/x
  3. Step 3: Cross multiply
    418,132.64x = 577,023.54 × 227,146
  4. Step 4: Simplify right side
    418,132.64x = 131,068,589,016.84
  5. Step 5: Solve for x
    x = 131,068,589,016.84/418,132.64
  6. Step 6: Final answer
    x = 313,461.75

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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.