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Finding the Fourth Proportional to 418,101.12, 576,980.64 and 227,112.96

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Solution

The fourth proportional to 418,101.12, 576,980.64 and 227,112.96 is: 313,416.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,101.12 : 576,980.64 = 227,112.96 : x
  2. Step 2: Convert to fraction form
    418,101.12/576,980.64 = 227,112.96/x
  3. Step 3: Cross multiply
    418,101.12x = 576,980.64 × 227,112.96
  4. Step 4: Simplify right side
    418,101.12x = 131,039,781,013.09
  5. Step 5: Solve for x
    x = 131,039,781,013.09/418,101.12
  6. Step 6: Final answer
    x = 313,416.48

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1.5x scale

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.