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Finding the Fourth Proportional to 280,097.87, 386,540.31 and 152,778.02

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Solution

The fourth proportional to 280,097.87, 386,540.31 and 152,778.02 is: 210,836.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,097.87 : 386,540.31 = 152,778.02 : x
  2. Step 2: Convert to fraction form
    280,097.87/386,540.31 = 152,778.02/x
  3. Step 3: Cross multiply
    280,097.87x = 386,540.31 × 152,778.02
  4. Step 4: Simplify right side
    280,097.87x = 59,054,861,279.28
  5. Step 5: Solve for x
    x = 59,054,861,279.28/280,097.87
  6. Step 6: Final answer
    x = 210,836.53

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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.