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Finding the Fourth Proportional to 275,795.67, 413,319.79 and 142,769.32

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Solution

The fourth proportional to 275,795.67, 413,319.79 and 142,769.32 is: 213,960.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,795.67 : 413,319.79 = 142,769.32 : x
  2. Step 2: Convert to fraction form
    275,795.67/413,319.79 = 142,769.32/x
  3. Step 3: Cross multiply
    275,795.67x = 413,319.79 × 142,769.32
  4. Step 4: Simplify right side
    275,795.67x = 59,009,385,360.84
  5. Step 5: Solve for x
    x = 59,009,385,360.84/275,795.67
  6. Step 6: Final answer
    x = 213,960.52

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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.