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Finding the Fourth Proportional to 280,405.58, 386,981.78 and 159,551.96

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Solution

The fourth proportional to 280,405.58, 386,981.78 and 159,551.96 is: 220,194.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,405.58 : 386,981.78 = 159,551.96 : x
  2. Step 2: Convert to fraction form
    280,405.58/386,981.78 = 159,551.96/x
  3. Step 3: Cross multiply
    280,405.58x = 386,981.78 × 159,551.96
  4. Step 4: Simplify right side
    280,405.58x = 61,743,701,483.29
  5. Step 5: Solve for x
    x = 61,743,701,483.29/280,405.58
  6. Step 6: Final answer
    x = 220,194.27

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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.