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Finding the Fourth Proportional to 417,469.84, 576,517.64 and 288,738.16

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Solution

The fourth proportional to 417,469.84, 576,517.64 and 288,738.16 is: 398,741.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,469.84 : 576,517.64 = 288,738.16 : x
  2. Step 2: Convert to fraction form
    417,469.84/576,517.64 = 288,738.16/x
  3. Step 3: Cross multiply
    417,469.84x = 576,517.64 × 288,738.16
  4. Step 4: Simplify right side
    417,469.84x = 166,462,642,581.14
  5. Step 5: Solve for x
    x = 166,462,642,581.14/417,469.84
  6. Step 6: Final answer
    x = 398,741.72

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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.