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Finding the Fourth Proportional to 492,821.65, 680,100.29 and 286,138.50

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Solution

The fourth proportional to 492,821.65, 680,100.29 and 286,138.50 is: 394,874.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,821.65 : 680,100.29 = 286,138.50 : x
  2. Step 2: Convert to fraction form
    492,821.65/680,100.29 = 286,138.50/x
  3. Step 3: Cross multiply
    492,821.65x = 680,100.29 × 286,138.50
  4. Step 4: Simplify right side
    492,821.65x = 194,602,876,830.17
  5. Step 5: Solve for x
    x = 194,602,876,830.17/492,821.65
  6. Step 6: Final answer
    x = 394,874.85

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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.