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Finding the Fourth Proportional to 415,668.20, 623,685.90 and 202,317.80

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Solution

The fourth proportional to 415,668.20, 623,685.90 and 202,317.80 is: 303,566.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,668.20 : 623,685.90 = 202,317.80 : x
  2. Step 2: Convert to fraction form
    415,668.20/623,685.90 = 202,317.80/x
  3. Step 3: Cross multiply
    415,668.20x = 623,685.90 × 202,317.80
  4. Step 4: Simplify right side
    415,668.20x = 126,182,759,179.02
  5. Step 5: Solve for x
    x = 126,182,759,179.02/415,668.20
  6. Step 6: Final answer
    x = 303,566.06

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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.