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Finding the Fourth Proportional to 310,705.86, 428,769.99 and 174,739.77

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Solution

The fourth proportional to 310,705.86, 428,769.99 and 174,739.77 is: 241,138.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,705.86 : 428,769.99 = 174,739.77 : x
  2. Step 2: Convert to fraction form
    310,705.86/428,769.99 = 174,739.77/x
  3. Step 3: Cross multiply
    310,705.86x = 428,769.99 × 174,739.77
  4. Step 4: Simplify right side
    310,705.86x = 74,923,169,435.50
  5. Step 5: Solve for x
    x = 74,923,169,435.50/310,705.86
  6. Step 6: Final answer
    x = 241,138.58

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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.