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Finding the Fourth Proportional to 280,667.88, 420,718.14 and 120,848.04

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Solution

The fourth proportional to 280,667.88, 420,718.14 and 120,848.04 is: 181,149.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,667.88 : 420,718.14 = 120,848.04 : x
  2. Step 2: Convert to fraction form
    280,667.88/420,718.14 = 120,848.04/x
  3. Step 3: Cross multiply
    280,667.88x = 420,718.14 × 120,848.04
  4. Step 4: Simplify right side
    280,667.88x = 50,842,962,611.45
  5. Step 5: Solve for x
    x = 50,842,962,611.45/280,667.88
  6. Step 6: Final answer
    x = 181,149.92

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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.