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Finding the Fourth Proportional to 505,056.96, 758,020.32 and 205,704

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Solution

The fourth proportional to 505,056.96, 758,020.32 and 205,704 is: 308,733.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,056.96 : 758,020.32 = 205,704 : x
  2. Step 2: Convert to fraction form
    505,056.96/758,020.32 = 205,704/x
  3. Step 3: Cross multiply
    505,056.96x = 758,020.32 × 205,704
  4. Step 4: Simplify right side
    505,056.96x = 155,927,811,905.28
  5. Step 5: Solve for x
    x = 155,927,811,905.28/505,056.96
  6. Step 6: Final answer
    x = 308,733.12

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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.