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Finding the Fourth Proportional to 299,583.72, 413,428.34 and 170,515.88

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Solution

The fourth proportional to 299,583.72, 413,428.34 and 170,515.88 is: 235,313.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,583.72 : 413,428.34 = 170,515.88 : x
  2. Step 2: Convert to fraction form
    299,583.72/413,428.34 = 170,515.88/x
  3. Step 3: Cross multiply
    299,583.72x = 413,428.34 × 170,515.88
  4. Step 4: Simplify right side
    299,583.72x = 70,496,097,212.04
  5. Step 5: Solve for x
    x = 70,496,097,212.04/299,583.72
  6. Step 6: Final answer
    x = 235,313.51

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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.