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Finding the Fourth Proportional to 375,318.50, 517,920.28 and 205,548.98

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Solution

The fourth proportional to 375,318.50, 517,920.28 and 205,548.98 is: 283,647.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,318.50 : 517,920.28 = 205,548.98 : x
  2. Step 2: Convert to fraction form
    375,318.50/517,920.28 = 205,548.98/x
  3. Step 3: Cross multiply
    375,318.50x = 517,920.28 × 205,548.98
  4. Step 4: Simplify right side
    375,318.50x = 106,457,982,171.84
  5. Step 5: Solve for x
    x = 106,457,982,171.84/375,318.50
  6. Step 6: Final answer
    x = 283,647.05

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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.