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Finding the Fourth Proportional to 280,103.40, 419,486.94 and 161,526.76

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Solution

The fourth proportional to 280,103.40, 419,486.94 and 161,526.76 is: 241,904.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,103.40 : 419,486.94 = 161,526.76 : x
  2. Step 2: Convert to fraction form
    280,103.40/419,486.94 = 161,526.76/x
  3. Step 3: Cross multiply
    280,103.40x = 419,486.94 × 161,526.76
  4. Step 4: Simplify right side
    280,103.40x = 67,758,366,280.51
  5. Step 5: Solve for x
    x = 67,758,366,280.51/280,103.40
  6. Step 6: Final answer
    x = 241,904.83

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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.