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Finding the Fourth Proportional to 358,139.22, 494,302.25 and 205,279.80

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Solution

The fourth proportional to 358,139.22, 494,302.25 and 205,279.80 is: 283,326.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,139.22 : 494,302.25 = 205,279.80 : x
  2. Step 2: Convert to fraction form
    358,139.22/494,302.25 = 205,279.80/x
  3. Step 3: Cross multiply
    358,139.22x = 494,302.25 × 205,279.80
  4. Step 4: Simplify right side
    358,139.22x = 101,470,267,019.55
  5. Step 5: Solve for x
    x = 101,470,267,019.55/358,139.22
  6. Step 6: Final answer
    x = 283,326.32

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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.