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Finding the Fourth Proportional to 375,432.96, 518,103.36 and 205,655.88

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Solution

The fourth proportional to 375,432.96, 518,103.36 and 205,655.88 is: 283,808.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,432.96 : 518,103.36 = 205,655.88 : x
  2. Step 2: Convert to fraction form
    375,432.96/518,103.36 = 205,655.88/x
  3. Step 3: Cross multiply
    375,432.96x = 518,103.36 × 205,655.88
  4. Step 4: Simplify right side
    375,432.96x = 106,551,002,431.76
  5. Step 5: Solve for x
    x = 106,551,002,431.76/375,432.96
  6. Step 6: Final answer
    x = 283,808.33

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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.