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Finding the Fourth Proportional to 228,645.79, 343,018.80 and 76,837.41

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Solution

The fourth proportional to 228,645.79, 343,018.80 and 76,837.41 is: 115,272.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,645.79 : 343,018.80 = 76,837.41 : x
  2. Step 2: Convert to fraction form
    228,645.79/343,018.80 = 76,837.41/x
  3. Step 3: Cross multiply
    228,645.79x = 343,018.80 × 76,837.41
  4. Step 4: Simplify right side
    228,645.79x = 26,356,676,173.31
  5. Step 5: Solve for x
    x = 26,356,676,173.31/228,645.79
  6. Step 6: Final answer
    x = 115,272.96

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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.