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Finding the Fourth Proportional to 315,882.14, 435,916.31 and 172,642.14

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Solution

The fourth proportional to 315,882.14, 435,916.31 and 172,642.14 is: 238,245.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,882.14 : 435,916.31 = 172,642.14 : x
  2. Step 2: Convert to fraction form
    315,882.14/435,916.31 = 172,642.14/x
  3. Step 3: Cross multiply
    315,882.14x = 435,916.31 × 172,642.14
  4. Step 4: Simplify right side
    315,882.14x = 75,257,523,756.09
  5. Step 5: Solve for x
    x = 75,257,523,756.09/315,882.14
  6. Step 6: Final answer
    x = 238,245.58

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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.