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Finding the Fourth Proportional to 485,628.70, 668,642.61 and 412,888.54

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Solution

The fourth proportional to 485,628.70, 668,642.61 and 412,888.54 is: 568,489.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,628.70 : 668,642.61 = 412,888.54 : x
  2. Step 2: Convert to fraction form
    485,628.70/668,642.61 = 412,888.54/x
  3. Step 3: Cross multiply
    485,628.70x = 668,642.61 × 412,888.54
  4. Step 4: Simplify right side
    485,628.70x = 276,074,871,024.69
  5. Step 5: Solve for x
    x = 276,074,871,024.69/485,628.70
  6. Step 6: Final answer
    x = 568,489.61

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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.