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Finding the Fourth Proportional to 492,889.19, 680,249.51 and 286,113.46

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Solution

The fourth proportional to 492,889.19, 680,249.51 and 286,113.46 is: 394,872.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,889.19 : 680,249.51 = 286,113.46 : x
  2. Step 2: Convert to fraction form
    492,889.19/680,249.51 = 286,113.46/x
  3. Step 3: Cross multiply
    492,889.19x = 680,249.51 × 286,113.46
  4. Step 4: Simplify right side
    492,889.19x = 194,628,539,984.06
  5. Step 5: Solve for x
    x = 194,628,539,984.06/492,889.19
  6. Step 6: Final answer
    x = 394,872.81

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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.