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Finding the Fourth Proportional to 314,856.65, 434,497.77 and 171,617.27

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Solution

The fourth proportional to 314,856.65, 434,497.77 and 171,617.27 is: 236,829.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,856.65 : 434,497.77 = 171,617.27 : x
  2. Step 2: Convert to fraction form
    314,856.65/434,497.77 = 171,617.27/x
  3. Step 3: Cross multiply
    314,856.65x = 434,497.77 × 171,617.27
  4. Step 4: Simplify right side
    314,856.65x = 74,567,318,936.00
  5. Step 5: Solve for x
    x = 74,567,318,936.00/314,856.65
  6. Step 6: Final answer
    x = 236,829.42

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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.