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Finding the Fourth Proportional to 306,906.36, 423,384.09 and 238,454.88

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Solution

The fourth proportional to 306,906.36, 423,384.09 and 238,454.88 is: 328,953.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,906.36 : 423,384.09 = 238,454.88 : x
  2. Step 2: Convert to fraction form
    306,906.36/423,384.09 = 238,454.88/x
  3. Step 3: Cross multiply
    306,906.36x = 423,384.09 × 238,454.88
  4. Step 4: Simplify right side
    306,906.36x = 100,958,002,374.86
  5. Step 5: Solve for x
    x = 100,958,002,374.86/306,906.36
  6. Step 6: Final answer
    x = 328,953.76

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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.