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Finding the Fourth Proportional to 314,618.96, 434,171.94 and 171,378.56

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Solution

The fourth proportional to 314,618.96, 434,171.94 and 171,378.56 is: 236,501.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,618.96 : 434,171.94 = 171,378.56 : x
  2. Step 2: Convert to fraction form
    314,618.96/434,171.94 = 171,378.56/x
  3. Step 3: Cross multiply
    314,618.96x = 434,171.94 × 171,378.56
  4. Step 4: Simplify right side
    314,618.96x = 74,407,761,869.61
  5. Step 5: Solve for x
    x = 74,407,761,869.61/314,618.96
  6. Step 6: Final answer
    x = 236,501.20

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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.