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Finding the Fourth Proportional to 289,561.49, 399,609.61 and 167,008.30

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Solution

The fourth proportional to 289,561.49, 399,609.61 and 167,008.30 is: 230,479.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,561.49 : 399,609.61 = 167,008.30 : x
  2. Step 2: Convert to fraction form
    289,561.49/399,609.61 = 167,008.30/x
  3. Step 3: Cross multiply
    289,561.49x = 399,609.61 × 167,008.30
  4. Step 4: Simplify right side
    289,561.49x = 66,738,121,629.76
  5. Step 5: Solve for x
    x = 66,738,121,629.76/289,561.49
  6. Step 6: Final answer
    x = 230,479.96

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1.5x scale

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.