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Finding the Fourth Proportional to 358,149.90, 494,211.44 and 205,158.72

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Solution

The fourth proportional to 358,149.90, 494,211.44 and 205,158.72 is: 283,098.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,149.90 : 494,211.44 = 205,158.72 : x
  2. Step 2: Convert to fraction form
    358,149.90/494,211.44 = 205,158.72/x
  3. Step 3: Cross multiply
    358,149.90x = 494,211.44 × 205,158.72
  4. Step 4: Simplify right side
    358,149.90x = 101,391,786,439.76
  5. Step 5: Solve for x
    x = 101,391,786,439.76/358,149.90
  6. Step 6: Final answer
    x = 283,098.74

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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.