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Finding the Fourth Proportional to 280,920.78, 421,423.11 and 103,414.32

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Solution

The fourth proportional to 280,920.78, 421,423.11 and 103,414.32 is: 155,136.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,920.78 : 421,423.11 = 103,414.32 : x
  2. Step 2: Convert to fraction form
    280,920.78/421,423.11 = 103,414.32/x
  3. Step 3: Cross multiply
    280,920.78x = 421,423.11 × 103,414.32
  4. Step 4: Simplify right side
    280,920.78x = 43,581,184,352.94
  5. Step 5: Solve for x
    x = 43,581,184,352.94/280,920.78
  6. Step 6: Final answer
    x = 155,136.92

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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.