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Finding the Fourth Proportional to 418,003.65, 576,848.43 and 227,018.41

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Solution

The fourth proportional to 418,003.65, 576,848.43 and 227,018.41 is: 313,287.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,003.65 : 576,848.43 = 227,018.41 : x
  2. Step 2: Convert to fraction form
    418,003.65/576,848.43 = 227,018.41/x
  3. Step 3: Cross multiply
    418,003.65x = 576,848.43 × 227,018.41
  4. Step 4: Simplify right side
    418,003.65x = 130,955,213,389.60
  5. Step 5: Solve for x
    x = 130,955,213,389.60/418,003.65
  6. Step 6: Final answer
    x = 313,287.25

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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.