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Finding the Fourth Proportional to 418,146.46, 577,042.80 and 227,160

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Solution

The fourth proportional to 418,146.46, 577,042.80 and 227,160 is: 313,481.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,146.46 : 577,042.80 = 227,160 : x
  2. Step 2: Convert to fraction form
    418,146.46/577,042.80 = 227,160/x
  3. Step 3: Cross multiply
    418,146.46x = 577,042.80 × 227,160
  4. Step 4: Simplify right side
    418,146.46x = 131,081,042,448.00
  5. Step 5: Solve for x
    x = 131,081,042,448.00/418,146.46
  6. Step 6: Final answer
    x = 313,481.17

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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.