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Finding the Fourth Proportional to 472,084.55, 708,744.14 and 280,309.15

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Solution

The fourth proportional to 472,084.55, 708,744.14 and 280,309.15 is: 420,830.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,084.55 : 708,744.14 = 280,309.15 : x
  2. Step 2: Convert to fraction form
    472,084.55/708,744.14 = 280,309.15/x
  3. Step 3: Cross multiply
    472,084.55x = 708,744.14 × 280,309.15
  4. Step 4: Simplify right side
    472,084.55x = 198,667,467,450.88
  5. Step 5: Solve for x
    x = 198,667,467,450.88/472,084.55
  6. Step 6: Final answer
    x = 420,830.27

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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.