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Finding the Fourth Proportional to 310,952.12, 429,135.71 and 174,999.15

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Solution

The fourth proportional to 310,952.12, 429,135.71 and 174,999.15 is: 241,511.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,952.12 : 429,135.71 = 174,999.15 : x
  2. Step 2: Convert to fraction form
    310,952.12/429,135.71 = 174,999.15/x
  3. Step 3: Cross multiply
    310,952.12x = 429,135.71 × 174,999.15
  4. Step 4: Simplify right side
    310,952.12x = 75,098,383,609.65
  5. Step 5: Solve for x
    x = 75,098,383,609.65/310,952.12
  6. Step 6: Final answer
    x = 241,511.09

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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.