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Finding the Fourth Proportional to 422,343.57, 633,598.02 and 185,685.51

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Solution

The fourth proportional to 422,343.57, 633,598.02 and 185,685.51 is: 278,564.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,343.57 : 633,598.02 = 185,685.51 : x
  2. Step 2: Convert to fraction form
    422,343.57/633,598.02 = 185,685.51/x
  3. Step 3: Cross multiply
    422,343.57x = 633,598.02 × 185,685.51
  4. Step 4: Simplify right side
    422,343.57x = 117,649,971,478.69
  5. Step 5: Solve for x
    x = 117,649,971,478.69/422,343.57
  6. Step 6: Final answer
    x = 278,564.61

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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.