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Finding the Fourth Proportional to 358,151.49, 494,285.28 and 205,209.96

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Solution

The fourth proportional to 358,151.49, 494,285.28 and 205,209.96 is: 283,210.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,151.49 : 494,285.28 = 205,209.96 : x
  2. Step 2: Convert to fraction form
    358,151.49/494,285.28 = 205,209.96/x
  3. Step 3: Cross multiply
    358,151.49x = 494,285.28 × 205,209.96
  4. Step 4: Simplify right side
    358,151.49x = 101,432,262,537.39
  5. Step 5: Solve for x
    x = 101,432,262,537.39/358,151.49
  6. Step 6: Final answer
    x = 283,210.50

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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.