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Finding the Fourth Proportional to 314,993.91, 434,682.12 and 171,756.75

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Solution

The fourth proportional to 314,993.91, 434,682.12 and 171,756.75 is: 237,019.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,993.91 : 434,682.12 = 171,756.75 : x
  2. Step 2: Convert to fraction form
    314,993.91/434,682.12 = 171,756.75/x
  3. Step 3: Cross multiply
    314,993.91x = 434,682.12 × 171,756.75
  4. Step 4: Simplify right side
    314,993.91x = 74,659,588,214.31
  5. Step 5: Solve for x
    x = 74,659,588,214.31/314,993.91
  6. Step 6: Final answer
    x = 237,019.15

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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.