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Finding the Fourth Proportional to 280,753.88, 420,878.09 and 103,222.94

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Solution

The fourth proportional to 280,753.88, 420,878.09 and 103,222.94 is: 154,741.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,753.88 : 420,878.09 = 103,222.94 : x
  2. Step 2: Convert to fraction form
    280,753.88/420,878.09 = 103,222.94/x
  3. Step 3: Cross multiply
    280,753.88x = 420,878.09 × 103,222.94
  4. Step 4: Simplify right side
    280,753.88x = 43,444,271,985.05
  5. Step 5: Solve for x
    x = 43,444,271,985.05/280,753.88
  6. Step 6: Final answer
    x = 154,741.49

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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.