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Finding the Fourth Proportional to 280,429.60, 420,644.40 and 269,543.20

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Solution

The fourth proportional to 280,429.60, 420,644.40 and 269,543.20 is: 404,314.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,429.60 : 420,644.40 = 269,543.20 : x
  2. Step 2: Convert to fraction form
    280,429.60/420,644.40 = 269,543.20/x
  3. Step 3: Cross multiply
    280,429.60x = 420,644.40 × 269,543.20
  4. Step 4: Simplify right side
    280,429.60x = 113,381,837,638.08
  5. Step 5: Solve for x
    x = 113,381,837,638.08/280,429.60
  6. Step 6: Final answer
    x = 404,314.80

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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.