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Finding the Fourth Proportional to 280,999.30, 421,353.15 and 103,414.90

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Solution

The fourth proportional to 280,999.30, 421,353.15 and 103,414.90 is: 155,068.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,999.30 : 421,353.15 = 103,414.90 : x
  2. Step 2: Convert to fraction form
    280,999.30/421,353.15 = 103,414.90/x
  3. Step 3: Cross multiply
    280,999.30x = 421,353.15 × 103,414.90
  4. Step 4: Simplify right side
    280,999.30x = 43,574,193,871.94
  5. Step 5: Solve for x
    x = 43,574,193,871.94/280,999.30
  6. Step 6: Final answer
    x = 155,068.69

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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.