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Finding the Fourth Proportional to 280,634.95, 421,118.43 and 103,266.46

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Solution

The fourth proportional to 280,634.95, 421,118.43 and 103,266.46 is: 154,960.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,634.95 : 421,118.43 = 103,266.46 : x
  2. Step 2: Convert to fraction form
    280,634.95/421,118.43 = 103,266.46/x
  3. Step 3: Cross multiply
    280,634.95x = 421,118.43 × 103,266.46
  4. Step 4: Simplify right side
    280,634.95x = 43,487,409,506.86
  5. Step 5: Solve for x
    x = 43,487,409,506.86/280,634.95
  6. Step 6: Final answer
    x = 154,960.78

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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.