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Finding the Fourth Proportional to 405,855.88, 560,033.12 and 224,543.86

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Solution

The fourth proportional to 405,855.88, 560,033.12 and 224,543.86 is: 309,843.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,855.88 : 560,033.12 = 224,543.86 : x
  2. Step 2: Convert to fraction form
    405,855.88/560,033.12 = 224,543.86/x
  3. Step 3: Cross multiply
    405,855.88x = 560,033.12 × 224,543.86
  4. Step 4: Simplify right side
    405,855.88x = 125,751,998,492.64
  5. Step 5: Solve for x
    x = 125,751,998,492.64/405,855.88
  6. Step 6: Final answer
    x = 309,843.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.