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Finding the Fourth Proportional to 308,846.12, 463,274.06 and 121,856

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Solution

The fourth proportional to 308,846.12, 463,274.06 and 121,856 is: 182,785.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,846.12 : 463,274.06 = 121,856 : x
  2. Step 2: Convert to fraction form
    308,846.12/463,274.06 = 121,856/x
  3. Step 3: Cross multiply
    308,846.12x = 463,274.06 × 121,856
  4. Step 4: Simplify right side
    308,846.12x = 56,452,723,855.36
  5. Step 5: Solve for x
    x = 56,452,723,855.36/308,846.12
  6. Step 6: Final answer
    x = 182,785.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.