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Finding the Fourth Proportional to 280,846.20, 421,269.30 and 205,613.40

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Solution

The fourth proportional to 280,846.20, 421,269.30 and 205,613.40 is: 308,420.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,846.20 : 421,269.30 = 205,613.40 : x
  2. Step 2: Convert to fraction form
    280,846.20/421,269.30 = 205,613.40/x
  3. Step 3: Cross multiply
    280,846.20x = 421,269.30 × 205,613.40
  4. Step 4: Simplify right side
    280,846.20x = 86,618,613,088.62
  5. Step 5: Solve for x
    x = 86,618,613,088.62/280,846.20
  6. Step 6: Final answer
    x = 308,420.10

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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.