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Finding the Fourth Proportional to 228,509.29, 342,806.10 and 76,691.41

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Solution

The fourth proportional to 228,509.29, 342,806.10 and 76,691.41 is: 115,051.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,509.29 : 342,806.10 = 76,691.41 : x
  2. Step 2: Convert to fraction form
    228,509.29/342,806.10 = 76,691.41/x
  3. Step 3: Cross multiply
    228,509.29x = 342,806.10 × 76,691.41
  4. Step 4: Simplify right side
    228,509.29x = 26,290,283,165.60
  5. Step 5: Solve for x
    x = 26,290,283,165.60/228,509.29
  6. Step 6: Final answer
    x = 115,051.27

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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.