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Finding the Fourth Proportional to 505,761, 758,641.50 and 131,784

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Solution

The fourth proportional to 505,761, 758,641.50 and 131,784 is: 197,676

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,761 : 758,641.50 = 131,784 : x
  2. Step 2: Convert to fraction form
    505,761/758,641.50 = 131,784/x
  3. Step 3: Cross multiply
    505,761x = 758,641.50 × 131,784
  4. Step 4: Simplify right side
    505,761x = 99,976,811,436
  5. Step 5: Solve for x
    x = 99,976,811,436/505,761
  6. Step 6: Final answer
    x = 197,676

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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.