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Finding the Fourth Proportional to 357,265, 493,012.94 and 202,212.96

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Solution

The fourth proportional to 357,265, 493,012.94 and 202,212.96 is: 279,046.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,265 : 493,012.94 = 202,212.96 : x
  2. Step 2: Convert to fraction form
    357,265/493,012.94 = 202,212.96/x
  3. Step 3: Cross multiply
    357,265x = 493,012.94 × 202,212.96
  4. Step 4: Simplify right side
    357,265x = 99,693,605,915.70
  5. Step 5: Solve for x
    x = 99,693,605,915.70/357,265
  6. Step 6: Final answer
    x = 279,046.66

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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.