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Finding the Fourth Proportional to 358,682.40, 494,962.74 and 205,712.69

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Solution

The fourth proportional to 358,682.40, 494,962.74 and 205,712.69 is: 283,872.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,682.40 : 494,962.74 = 205,712.69 : x
  2. Step 2: Convert to fraction form
    358,682.40/494,962.74 = 205,712.69/x
  3. Step 3: Cross multiply
    358,682.40x = 494,962.74 × 205,712.69
  4. Step 4: Simplify right side
    358,682.40x = 101,820,114,220.36
  5. Step 5: Solve for x
    x = 101,820,114,220.36/358,682.40
  6. Step 6: Final answer
    x = 283,872.62

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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.