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Finding the Fourth Proportional to 312,837.34, 469,274.28 and 120,712.78

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Solution

The fourth proportional to 312,837.34, 469,274.28 and 120,712.78 is: 181,076.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,837.34 : 469,274.28 = 120,712.78 : x
  2. Step 2: Convert to fraction form
    312,837.34/469,274.28 = 120,712.78/x
  3. Step 3: Cross multiply
    312,837.34x = 469,274.28 × 120,712.78
  4. Step 4: Simplify right side
    312,837.34x = 56,647,402,921.30
  5. Step 5: Solve for x
    x = 56,647,402,921.30/312,837.34
  6. Step 6: Final answer
    x = 181,076.22

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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.