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Finding the Fourth Proportional to 505,366.60, 758,006.16 and 205,878.82

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Solution

The fourth proportional to 505,366.60, 758,006.16 and 205,878.82 is: 308,800.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,366.60 : 758,006.16 = 205,878.82 : x
  2. Step 2: Convert to fraction form
    505,366.60/758,006.16 = 205,878.82/x
  3. Step 3: Cross multiply
    505,366.60x = 758,006.16 × 205,878.82
  4. Step 4: Simplify right side
    505,366.60x = 156,057,413,773.53
  5. Step 5: Solve for x
    x = 156,057,413,773.53/505,366.60
  6. Step 6: Final answer
    x = 308,800.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.