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Finding the Fourth Proportional to 407,668.29, 611,532.53 and 108,142.25

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Solution

The fourth proportional to 407,668.29, 611,532.53 and 108,142.25 is: 162,221.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,668.29 : 611,532.53 = 108,142.25 : x
  2. Step 2: Convert to fraction form
    407,668.29/611,532.53 = 108,142.25/x
  3. Step 3: Cross multiply
    407,668.29x = 611,532.53 × 108,142.25
  4. Step 4: Simplify right side
    407,668.29x = 66,132,500,144.02
  5. Step 5: Solve for x
    x = 66,132,500,144.02/407,668.29
  6. Step 6: Final answer
    x = 162,221.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.