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Finding the Fourth Proportional to 314,558.50, 434,095.68 and 171,318.43

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Solution

The fourth proportional to 314,558.50, 434,095.68 and 171,318.43 is: 236,422.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,558.50 : 434,095.68 = 171,318.43 : x
  2. Step 2: Convert to fraction form
    314,558.50/434,095.68 = 171,318.43/x
  3. Step 3: Cross multiply
    314,558.50x = 434,095.68 × 171,318.43
  4. Step 4: Simplify right side
    314,558.50x = 74,368,590,367.38
  5. Step 5: Solve for x
    x = 74,368,590,367.38/314,558.50
  6. Step 6: Final answer
    x = 236,422.13

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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.