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Finding the Fourth Proportional to 280,647.71, 420,677.52 and 130,764.41

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Solution

The fourth proportional to 280,647.71, 420,677.52 and 130,764.41 is: 196,009.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,647.71 : 420,677.52 = 130,764.41 : x
  2. Step 2: Convert to fraction form
    280,647.71/420,677.52 = 130,764.41/x
  3. Step 3: Cross multiply
    280,647.71x = 420,677.52 × 130,764.41
  4. Step 4: Simplify right side
    280,647.71x = 55,009,645,599.68
  5. Step 5: Solve for x
    x = 55,009,645,599.68/280,647.71
  6. Step 6: Final answer
    x = 196,009.60

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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.