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Finding the Fourth Proportional to 314,955.21, 434,619.46 and 178,970.29

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Solution

The fourth proportional to 314,955.21, 434,619.46 and 178,970.29 is: 246,968.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,955.21 : 434,619.46 = 178,970.29 : x
  2. Step 2: Convert to fraction form
    314,955.21/434,619.46 = 178,970.29/x
  3. Step 3: Cross multiply
    314,955.21x = 434,619.46 × 178,970.29
  4. Step 4: Simplify right side
    314,955.21x = 77,783,970,795.84
  5. Step 5: Solve for x
    x = 77,783,970,795.84/314,955.21
  6. Step 6: Final answer
    x = 246,968.36

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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.