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Finding the Fourth Proportional to 280,097.88, 386,540.31 and 152,778.03

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Solution

The fourth proportional to 280,097.88, 386,540.31 and 152,778.03 is: 210,836.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,097.88 : 386,540.31 = 152,778.03 : x
  2. Step 2: Convert to fraction form
    280,097.88/386,540.31 = 152,778.03/x
  3. Step 3: Cross multiply
    280,097.88x = 386,540.31 × 152,778.03
  4. Step 4: Simplify right side
    280,097.88x = 59,054,867,077.39
  5. Step 5: Solve for x
    x = 59,054,867,077.39/280,097.88
  6. Step 6: Final answer
    x = 210,836.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.