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Finding the Fourth Proportional to 228,455.33, 342,308.45 and 161,775.72

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Solution

The fourth proportional to 228,455.33, 342,308.45 and 161,775.72 is: 242,398.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,455.33 : 342,308.45 = 161,775.72 : x
  2. Step 2: Convert to fraction form
    228,455.33/342,308.45 = 161,775.72/x
  3. Step 3: Cross multiply
    228,455.33x = 342,308.45 × 161,775.72
  4. Step 4: Simplify right side
    228,455.33x = 55,377,195,151.96
  5. Step 5: Solve for x
    x = 55,377,195,151.96/228,455.33
  6. Step 6: Final answer
    x = 242,398.36

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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.