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Finding the Fourth Proportional to 314,803.56, 434,429.22 and 171,563.72

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Solution

The fourth proportional to 314,803.56, 434,429.22 and 171,563.72 is: 236,758.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,803.56 : 434,429.22 = 171,563.72 : x
  2. Step 2: Convert to fraction form
    314,803.56/434,429.22 = 171,563.72/x
  3. Step 3: Cross multiply
    314,803.56x = 434,429.22 × 171,563.72
  4. Step 4: Simplify right side
    314,803.56x = 74,532,293,059.90
  5. Step 5: Solve for x
    x = 74,532,293,059.90/314,803.56
  6. Step 6: Final answer
    x = 236,758.10

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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.