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Finding the Fourth Proportional to 318,235.17, 439,206.53 and 205,385.97

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Solution

The fourth proportional to 318,235.17, 439,206.53 and 205,385.97 is: 283,459.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,235.17 : 439,206.53 = 205,385.97 : x
  2. Step 2: Convert to fraction form
    318,235.17/439,206.53 = 205,385.97/x
  3. Step 3: Cross multiply
    318,235.17x = 439,206.53 × 205,385.97
  4. Step 4: Simplify right side
    318,235.17x = 90,206,858,167.45
  5. Step 5: Solve for x
    x = 90,206,858,167.45/318,235.17
  6. Step 6: Final answer
    x = 283,459.74

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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.