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Finding the Fourth Proportional to 280,671.88, 420,724.14 and 120,852.04

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Solution

The fourth proportional to 280,671.88, 420,724.14 and 120,852.04 is: 181,155.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,671.88 : 420,724.14 = 120,852.04 : x
  2. Step 2: Convert to fraction form
    280,671.88/420,724.14 = 120,852.04/x
  3. Step 3: Cross multiply
    280,671.88x = 420,724.14 × 120,852.04
  4. Step 4: Simplify right side
    280,671.88x = 50,845,370,596.25
  5. Step 5: Solve for x
    x = 50,845,370,596.25/280,671.88
  6. Step 6: Final answer
    x = 181,155.91

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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.