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Finding the Fourth Proportional to 275,543.51, 412,930.35 and 148,910.76

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Solution

The fourth proportional to 275,543.51, 412,930.35 and 148,910.76 is: 223,158.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,543.51 : 412,930.35 = 148,910.76 : x
  2. Step 2: Convert to fraction form
    275,543.51/412,930.35 = 148,910.76/x
  3. Step 3: Cross multiply
    275,543.51x = 412,930.35 × 148,910.76
  4. Step 4: Simplify right side
    275,543.51x = 61,489,772,245.57
  5. Step 5: Solve for x
    x = 61,489,772,245.57/275,543.51
  6. Step 6: Final answer
    x = 223,158.13

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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.