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Finding the Fourth Proportional to 911,424, 1,367,094.72 and 280,310.40

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Solution

The fourth proportional to 911,424, 1,367,094.72 and 280,310.40 is: 420,452.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    911,424 : 1,367,094.72 = 280,310.40 : x
  2. Step 2: Convert to fraction form
    911,424/1,367,094.72 = 280,310.40/x
  3. Step 3: Cross multiply
    911,424x = 1,367,094.72 × 280,310.40
  4. Step 4: Simplify right side
    911,424x = 383,210,867,801.09
  5. Step 5: Solve for x
    x = 383,210,867,801.09/911,424
  6. Step 6: Final answer
    x = 420,452.90

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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.