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Finding the Fourth Proportional to 306,633.68, 423,149.64 and 170,666

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Solution

The fourth proportional to 306,633.68, 423,149.64 and 170,666 is: 235,516.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,633.68 : 423,149.64 = 170,666 : x
  2. Step 2: Convert to fraction form
    306,633.68/423,149.64 = 170,666/x
  3. Step 3: Cross multiply
    306,633.68x = 423,149.64 × 170,666
  4. Step 4: Simplify right side
    306,633.68x = 72,217,256,460.24
  5. Step 5: Solve for x
    x = 72,217,256,460.24/306,633.68
  6. Step 6: Final answer
    x = 235,516.39

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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.