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Finding the Fourth Proportional to 358,225.84, 494,355.78 and 205,261

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Solution

The fourth proportional to 358,225.84, 494,355.78 and 205,261 is: 283,262.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,225.84 : 494,355.78 = 205,261 : x
  2. Step 2: Convert to fraction form
    358,225.84/494,355.78 = 205,261/x
  3. Step 3: Cross multiply
    358,225.84x = 494,355.78 × 205,261
  4. Step 4: Simplify right side
    358,225.84x = 101,471,961,758.58
  5. Step 5: Solve for x
    x = 101,471,961,758.58/358,225.84
  6. Step 6: Final answer
    x = 283,262.54

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1.5x scale

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.