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Finding the Fourth Proportional to 280,301.33, 420,202.01 and 102,766.97

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Solution

The fourth proportional to 280,301.33, 420,202.01 and 102,766.97 is: 154,058.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,301.33 : 420,202.01 = 102,766.97 : x
  2. Step 2: Convert to fraction form
    280,301.33/420,202.01 = 102,766.97/x
  3. Step 3: Cross multiply
    280,301.33x = 420,202.01 × 102,766.97
  4. Step 4: Simplify right side
    280,301.33x = 43,182,884,740.76
  5. Step 5: Solve for x
    x = 43,182,884,740.76/280,301.33
  6. Step 6: Final answer
    x = 154,058.80

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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.