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Finding the Fourth Proportional to 358,433.66, 494,619.67 and 197,257.91

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Solution

The fourth proportional to 358,433.66, 494,619.67 and 197,257.91 is: 272,205.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,433.66 : 494,619.67 = 197,257.91 : x
  2. Step 2: Convert to fraction form
    358,433.66/494,619.67 = 197,257.91/x
  3. Step 3: Cross multiply
    358,433.66x = 494,619.67 × 197,257.91
  4. Step 4: Simplify right side
    358,433.66x = 97,567,640,404.11
  5. Step 5: Solve for x
    x = 97,567,640,404.11/358,433.66
  6. Step 6: Final answer
    x = 272,205.58

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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.