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Finding the Fourth Proportional to 492,820.65, 680,098.91 and 286,137.50

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Solution

The fourth proportional to 492,820.65, 680,098.91 and 286,137.50 is: 394,873.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,820.65 : 680,098.91 = 286,137.50 : x
  2. Step 2: Convert to fraction form
    492,820.65/680,098.91 = 286,137.50/x
  3. Step 3: Cross multiply
    492,820.65x = 680,098.91 × 286,137.50
  4. Step 4: Simplify right side
    492,820.65x = 194,601,797,028.94
  5. Step 5: Solve for x
    x = 194,601,797,028.94/492,820.65
  6. Step 6: Final answer
    x = 394,873.46

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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.