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Finding the Fourth Proportional to 280,409.28, 386,951.31 and 159,539.28

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Solution

The fourth proportional to 280,409.28, 386,951.31 and 159,539.28 is: 220,156.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,409.28 : 386,951.31 = 159,539.28 : x
  2. Step 2: Convert to fraction form
    280,409.28/386,951.31 = 159,539.28/x
  3. Step 3: Cross multiply
    280,409.28x = 386,951.31 × 159,539.28
  4. Step 4: Simplify right side
    280,409.28x = 61,733,933,392.46
  5. Step 5: Solve for x
    x = 61,733,933,392.46/280,409.28
  6. Step 6: Final answer
    x = 220,156.53

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1.5x scale

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.