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Finding the Fourth Proportional to 375,761.84, 518,549.43 and 203,679.11

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Solution

The fourth proportional to 375,761.84, 518,549.43 and 203,679.11 is: 281,076.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,761.84 : 518,549.43 = 203,679.11 : x
  2. Step 2: Convert to fraction form
    375,761.84/518,549.43 = 203,679.11/x
  3. Step 3: Cross multiply
    375,761.84x = 518,549.43 × 203,679.11
  4. Step 4: Simplify right side
    375,761.84x = 105,617,686,393.41
  5. Step 5: Solve for x
    x = 105,617,686,393.41/375,761.84
  6. Step 6: Final answer
    x = 281,076.14

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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.