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Finding the Fourth Proportional to 319,705.65, 441,204.49 and 174,520.05

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Solution

The fourth proportional to 319,705.65, 441,204.49 and 174,520.05 is: 240,843.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,705.65 : 441,204.49 = 174,520.05 : x
  2. Step 2: Convert to fraction form
    319,705.65/441,204.49 = 174,520.05/x
  3. Step 3: Cross multiply
    319,705.65x = 441,204.49 × 174,520.05
  4. Step 4: Simplify right side
    319,705.65x = 76,999,029,655.02
  5. Step 5: Solve for x
    x = 76,999,029,655.02/319,705.65
  6. Step 6: Final answer
    x = 240,843.51

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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.