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Finding the Fourth Proportional to 280,637.96, 421,122.94 and 103,269.46

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Solution

The fourth proportional to 280,637.96, 421,122.94 and 103,269.46 is: 154,965.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,637.96 : 421,122.94 = 103,269.46 : x
  2. Step 2: Convert to fraction form
    280,637.96/421,122.94 = 103,269.46/x
  3. Step 3: Cross multiply
    280,637.96x = 421,122.94 × 103,269.46
  4. Step 4: Simplify right side
    280,637.96x = 43,489,138,607.41
  5. Step 5: Solve for x
    x = 43,489,138,607.41/280,637.96
  6. Step 6: Final answer
    x = 154,965.27

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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.