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Finding the Fourth Proportional to 538,894.56, 743,674.50 and 309,466.92

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Solution

The fourth proportional to 538,894.56, 743,674.50 and 309,466.92 is: 427,064.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,894.56 : 743,674.50 = 309,466.92 : x
  2. Step 2: Convert to fraction form
    538,894.56/743,674.50 = 309,466.92/x
  3. Step 3: Cross multiply
    538,894.56x = 743,674.50 × 309,466.92
  4. Step 4: Simplify right side
    538,894.56x = 230,142,656,997.54
  5. Step 5: Solve for x
    x = 230,142,656,997.54/538,894.56
  6. Step 6: Final answer
    x = 427,064.35

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Double scale
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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.