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Finding the Fourth Proportional to 375,688.56, 518,459.22 and 205,932

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Solution

The fourth proportional to 375,688.56, 518,459.22 and 205,932 is: 284,191.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,688.56 : 518,459.22 = 205,932 : x
  2. Step 2: Convert to fraction form
    375,688.56/518,459.22 = 205,932/x
  3. Step 3: Cross multiply
    375,688.56x = 518,459.22 × 205,932
  4. Step 4: Simplify right side
    375,688.56x = 106,767,344,093.04
  5. Step 5: Solve for x
    x = 106,767,344,093.04/375,688.56
  6. Step 6: Final answer
    x = 284,191.10

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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.