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Finding the Fourth Proportional to 412,965.60, 619,317.18 and 280,695.84

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Solution

The fourth proportional to 412,965.60, 619,317.18 and 280,695.84 is: 420,954.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,965.60 : 619,317.18 = 280,695.84 : x
  2. Step 2: Convert to fraction form
    412,965.60/619,317.18 = 280,695.84/x
  3. Step 3: Cross multiply
    412,965.60x = 619,317.18 × 280,695.84
  4. Step 4: Simplify right side
    412,965.60x = 173,839,756,066.53
  5. Step 5: Solve for x
    x = 173,839,756,066.53/412,965.60
  6. Step 6: Final answer
    x = 420,954.57

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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.