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Finding the Fourth Proportional to 415,756.40, 623,668.61 and 131,466.44

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Solution

The fourth proportional to 415,756.40, 623,668.61 and 131,466.44 is: 197,210.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,756.40 : 623,668.61 = 131,466.44 : x
  2. Step 2: Convert to fraction form
    415,756.40/623,668.61 = 131,466.44/x
  3. Step 3: Cross multiply
    415,756.40x = 623,668.61 × 131,466.44
  4. Step 4: Simplify right side
    415,756.40x = 81,991,493,784.29
  5. Step 5: Solve for x
    x = 81,991,493,784.29/415,756.40
  6. Step 6: Final answer
    x = 197,210.42

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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.