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Finding the Fourth Proportional to 513,166.50, 708,147.50 and 280,589.18

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Solution

The fourth proportional to 513,166.50, 708,147.50 and 280,589.18 is: 387,200.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,166.50 : 708,147.50 = 280,589.18 : x
  2. Step 2: Convert to fraction form
    513,166.50/708,147.50 = 280,589.18/x
  3. Step 3: Cross multiply
    513,166.50x = 708,147.50 × 280,589.18
  4. Step 4: Simplify right side
    513,166.50x = 198,698,521,400.37
  5. Step 5: Solve for x
    x = 198,698,521,400.37/513,166.50
  6. Step 6: Final answer
    x = 387,200.88

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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.