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Finding the Fourth Proportional to 486,065.82, 670,776.75 and 282,163.98

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Solution

The fourth proportional to 486,065.82, 670,776.75 and 282,163.98 is: 389,389.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,065.82 : 670,776.75 = 282,163.98 : x
  2. Step 2: Convert to fraction form
    486,065.82/670,776.75 = 282,163.98/x
  3. Step 3: Cross multiply
    486,065.82x = 670,776.75 × 282,163.98
  4. Step 4: Simplify right side
    486,065.82x = 189,269,037,471.47
  5. Step 5: Solve for x
    x = 189,269,037,471.47/486,065.82
  6. Step 6: Final answer
    x = 389,389.73

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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.